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Finding the Fourth Proportional to 2,737.46, 4,080.17 and 2,581.78

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Solution

The fourth proportional to 2,737.46, 4,080.17 and 2,581.78 is: 3,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.46 : 4,080.17 = 2,581.78 : x
  2. Step 2: Convert to fraction form
    2,737.46/4,080.17 = 2,581.78/x
  3. Step 3: Cross multiply
    2,737.46x = 4,080.17 × 2,581.78
  4. Step 4: Simplify right side
    2,737.46x = 10,534,097.56
  5. Step 5: Solve for x
    x = 10,534,097.56/2,737.46
  6. Step 6: Final answer
    x = 3,848.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.