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Finding the Fourth Proportional to 2,737.59, 4,102.61 and 2,371.47

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Solution

The fourth proportional to 2,737.59, 4,102.61 and 2,371.47 is: 3,553.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.59 : 4,102.61 = 2,371.47 : x
  2. Step 2: Convert to fraction form
    2,737.59/4,102.61 = 2,371.47/x
  3. Step 3: Cross multiply
    2,737.59x = 4,102.61 × 2,371.47
  4. Step 4: Simplify right side
    2,737.59x = 9,729,204.68
  5. Step 5: Solve for x
    x = 9,729,204.68/2,737.59
  6. Step 6: Final answer
    x = 3,553.93

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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.