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Finding the Fourth Proportional to 2,711.48, 4,066.72 and 763.28

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Solution

The fourth proportional to 2,711.48, 4,066.72 and 763.28 is: 1,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.48 : 4,066.72 = 763.28 : x
  2. Step 2: Convert to fraction form
    2,711.48/4,066.72 = 763.28/x
  3. Step 3: Cross multiply
    2,711.48x = 4,066.72 × 763.28
  4. Step 4: Simplify right side
    2,711.48x = 3,104,046.04
  5. Step 5: Solve for x
    x = 3,104,046.04/2,711.48
  6. Step 6: Final answer
    x = 1,144.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.