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Finding the Fourth Proportional to 2,294.76, 3,165.35 and 2,000.73

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Solution

The fourth proportional to 2,294.76, 3,165.35 and 2,000.73 is: 2,759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.76 : 3,165.35 = 2,000.73 : x
  2. Step 2: Convert to fraction form
    2,294.76/3,165.35 = 2,000.73/x
  3. Step 3: Cross multiply
    2,294.76x = 3,165.35 × 2,000.73
  4. Step 4: Simplify right side
    2,294.76x = 6,333,010.71
  5. Step 5: Solve for x
    x = 6,333,010.71/2,294.76
  6. Step 6: Final answer
    x = 2,759.77

Related Problems

Find fourth proportional to 1,147.38, 1,582.68 and 1,000.37
Half scale
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Double scale
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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.