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Finding the Fourth Proportional to 2,724.71, 3,759.53 and 1,545.57

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Solution

The fourth proportional to 2,724.71, 3,759.53 and 1,545.57 is: 2,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.71 : 3,759.53 = 1,545.57 : x
  2. Step 2: Convert to fraction form
    2,724.71/3,759.53 = 1,545.57/x
  3. Step 3: Cross multiply
    2,724.71x = 3,759.53 × 1,545.57
  4. Step 4: Simplify right side
    2,724.71x = 5,810,609.05
  5. Step 5: Solve for x
    x = 5,810,609.05/2,724.71
  6. Step 6: Final answer
    x = 2,132.56

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