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Finding the Fourth Proportional to 2,474.52, 3,712.05 and 831.18

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Solution

The fourth proportional to 2,474.52, 3,712.05 and 831.18 is: 1,246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.52 : 3,712.05 = 831.18 : x
  2. Step 2: Convert to fraction form
    2,474.52/3,712.05 = 831.18/x
  3. Step 3: Cross multiply
    2,474.52x = 3,712.05 × 831.18
  4. Step 4: Simplify right side
    2,474.52x = 3,085,381.72
  5. Step 5: Solve for x
    x = 3,085,381.72/2,474.52
  6. Step 6: Final answer
    x = 1,246.86

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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.