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Finding the Fourth Proportional to 2,292.78, 3,439.17 and 831.93

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Solution

The fourth proportional to 2,292.78, 3,439.17 and 831.93 is: 1,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.78 : 3,439.17 = 831.93 : x
  2. Step 2: Convert to fraction form
    2,292.78/3,439.17 = 831.93/x
  3. Step 3: Cross multiply
    2,292.78x = 3,439.17 × 831.93
  4. Step 4: Simplify right side
    2,292.78x = 2,861,148.70
  5. Step 5: Solve for x
    x = 2,861,148.70/2,292.78
  6. Step 6: Final answer
    x = 1,247.90

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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.