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Finding the Fourth Proportional to 2,562.76, 3,843.99 and 831.25

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Solution

The fourth proportional to 2,562.76, 3,843.99 and 831.25 is: 1,246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.76 : 3,843.99 = 831.25 : x
  2. Step 2: Convert to fraction form
    2,562.76/3,843.99 = 831.25/x
  3. Step 3: Cross multiply
    2,562.76x = 3,843.99 × 831.25
  4. Step 4: Simplify right side
    2,562.76x = 3,195,316.69
  5. Step 5: Solve for x
    x = 3,195,316.69/2,562.76
  6. Step 6: Final answer
    x = 1,246.83

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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.