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Finding the Fourth Proportional to 2,474.31, 3,711.42 and 993.87

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Solution

The fourth proportional to 2,474.31, 3,711.42 and 993.87 is: 1,490.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.31 : 3,711.42 = 993.87 : x
  2. Step 2: Convert to fraction form
    2,474.31/3,711.42 = 993.87/x
  3. Step 3: Cross multiply
    2,474.31x = 3,711.42 × 993.87
  4. Step 4: Simplify right side
    2,474.31x = 3,688,669.00
  5. Step 5: Solve for x
    x = 3,688,669.00/2,474.31
  6. Step 6: Final answer
    x = 1,490.79

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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.