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Finding the Fourth Proportional to 2,729.70, 3,761.64 and 2,545.02

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Solution

The fourth proportional to 2,729.70, 3,761.64 and 2,545.02 is: 3,507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.70 : 3,761.64 = 2,545.02 : x
  2. Step 2: Convert to fraction form
    2,729.70/3,761.64 = 2,545.02/x
  3. Step 3: Cross multiply
    2,729.70x = 3,761.64 × 2,545.02
  4. Step 4: Simplify right side
    2,729.70x = 9,573,449.03
  5. Step 5: Solve for x
    x = 9,573,449.03/2,729.70
  6. Step 6: Final answer
    x = 3,507.14

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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.