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Finding the Fourth Proportional to 2,000.76, 2,761.66 and 1,161.68

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Solution

The fourth proportional to 2,000.76, 2,761.66 and 1,161.68 is: 1,603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.76 : 2,761.66 = 1,161.68 : x
  2. Step 2: Convert to fraction form
    2,000.76/2,761.66 = 1,161.68/x
  3. Step 3: Cross multiply
    2,000.76x = 2,761.66 × 1,161.68
  4. Step 4: Simplify right side
    2,000.76x = 3,208,165.19
  5. Step 5: Solve for x
    x = 3,208,165.19/2,000.76
  6. Step 6: Final answer
    x = 1,603.47

Related Problems

Find fourth proportional to 1,000.38, 1,380.83 and 580.84
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.