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Finding the Fourth Proportional to 2,737.74, 4,111.53 and 2,517.96

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Solution

The fourth proportional to 2,737.74, 4,111.53 and 2,517.96 is: 3,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.74 : 4,111.53 = 2,517.96 : x
  2. Step 2: Convert to fraction form
    2,737.74/4,111.53 = 2,517.96/x
  3. Step 3: Cross multiply
    2,737.74x = 4,111.53 × 2,517.96
  4. Step 4: Simplify right side
    2,737.74x = 10,352,688.78
  5. Step 5: Solve for x
    x = 10,352,688.78/2,737.74
  6. Step 6: Final answer
    x = 3,781.48

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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.