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Finding the Fourth Proportional to 2,391.28, 3,586.82 and 831.64

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Solution

The fourth proportional to 2,391.28, 3,586.82 and 831.64 is: 1,247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.28 : 3,586.82 = 831.64 : x
  2. Step 2: Convert to fraction form
    2,391.28/3,586.82 = 831.64/x
  3. Step 3: Cross multiply
    2,391.28x = 3,586.82 × 831.64
  4. Step 4: Simplify right side
    2,391.28x = 2,982,942.98
  5. Step 5: Solve for x
    x = 2,982,942.98/2,391.28
  6. Step 6: Final answer
    x = 1,247.43

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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.