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Finding the Fourth Proportional to 2,292.71, 3,439.58 and 831.86

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Solution

The fourth proportional to 2,292.71, 3,439.58 and 831.86 is: 1,247.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.71 : 3,439.58 = 831.86 : x
  2. Step 2: Convert to fraction form
    2,292.71/3,439.58 = 831.86/x
  3. Step 3: Cross multiply
    2,292.71x = 3,439.58 × 831.86
  4. Step 4: Simplify right side
    2,292.71x = 2,861,251.10
  5. Step 5: Solve for x
    x = 2,861,251.10/2,292.71
  6. Step 6: Final answer
    x = 1,247.98

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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.