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Finding the Fourth Proportional to 2,292.60, 3,438.92 and 831.44

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Solution

The fourth proportional to 2,292.60, 3,438.92 and 831.44 is: 1,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.60 : 3,438.92 = 831.44 : x
  2. Step 2: Convert to fraction form
    2,292.60/3,438.92 = 831.44/x
  3. Step 3: Cross multiply
    2,292.60x = 3,438.92 × 831.44
  4. Step 4: Simplify right side
    2,292.60x = 2,859,255.64
  5. Step 5: Solve for x
    x = 2,859,255.64/2,292.60
  6. Step 6: Final answer
    x = 1,247.17

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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.