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Finding the Fourth Proportional to 2,292.83, 3,440.61 and 831.79

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Solution

The fourth proportional to 2,292.83, 3,440.61 and 831.79 is: 1,248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.83 : 3,440.61 = 831.79 : x
  2. Step 2: Convert to fraction form
    2,292.83/3,440.61 = 831.79/x
  3. Step 3: Cross multiply
    2,292.83x = 3,440.61 × 831.79
  4. Step 4: Simplify right side
    2,292.83x = 2,861,869.29
  5. Step 5: Solve for x
    x = 2,861,869.29/2,292.83
  6. Step 6: Final answer
    x = 1,248.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.