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Finding the Fourth Proportional to 2,474.28, 3,711.69 and 831.33

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Solution

The fourth proportional to 2,474.28, 3,711.69 and 831.33 is: 1,247.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.28 : 3,711.69 = 831.33 : x
  2. Step 2: Convert to fraction form
    2,474.28/3,711.69 = 831.33/x
  3. Step 3: Cross multiply
    2,474.28x = 3,711.69 × 831.33
  4. Step 4: Simplify right side
    2,474.28x = 3,085,639.25
  5. Step 5: Solve for x
    x = 3,085,639.25/2,474.28
  6. Step 6: Final answer
    x = 1,247.09

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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.