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Finding the Fourth Proportional to 2,707.20, 3,737.64 and 2,427

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Solution

The fourth proportional to 2,707.20, 3,737.64 and 2,427 is: 3,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.20 : 3,737.64 = 2,427 : x
  2. Step 2: Convert to fraction form
    2,707.20/3,737.64 = 2,427/x
  3. Step 3: Cross multiply
    2,707.20x = 3,737.64 × 2,427
  4. Step 4: Simplify right side
    2,707.20x = 9,071,252.28
  5. Step 5: Solve for x
    x = 9,071,252.28/2,707.20
  6. Step 6: Final answer
    x = 3,350.79

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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.