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Finding the Fourth Proportional to 1,562.38, 2,344 and 831.76

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Solution

The fourth proportional to 1,562.38, 2,344 and 831.76 is: 1,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.38 : 2,344 = 831.76 : x
  2. Step 2: Convert to fraction form
    1,562.38/2,344 = 831.76/x
  3. Step 3: Cross multiply
    1,562.38x = 2,344 × 831.76
  4. Step 4: Simplify right side
    1,562.38x = 1,949,645.44
  5. Step 5: Solve for x
    x = 1,949,645.44/1,562.38
  6. Step 6: Final answer
    x = 1,247.87

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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.