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Finding the Fourth Proportional to 2,000.84, 2,761.14 and 1,116.74

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Solution

The fourth proportional to 2,000.84, 2,761.14 and 1,116.74 is: 1,541.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.84 : 2,761.14 = 1,116.74 : x
  2. Step 2: Convert to fraction form
    2,000.84/2,761.14 = 1,116.74/x
  3. Step 3: Cross multiply
    2,000.84x = 2,761.14 × 1,116.74
  4. Step 4: Simplify right side
    2,000.84x = 3,083,475.48
  5. Step 5: Solve for x
    x = 3,083,475.48/2,000.84
  6. Step 6: Final answer
    x = 1,541.09

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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.