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Finding the Fourth Proportional to 2,217.94, 3,327.47 and 831.28

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Solution

The fourth proportional to 2,217.94, 3,327.47 and 831.28 is: 1,247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.94 : 3,327.47 = 831.28 : x
  2. Step 2: Convert to fraction form
    2,217.94/3,327.47 = 831.28/x
  3. Step 3: Cross multiply
    2,217.94x = 3,327.47 × 831.28
  4. Step 4: Simplify right side
    2,217.94x = 2,766,049.90
  5. Step 5: Solve for x
    x = 2,766,049.90/2,217.94
  6. Step 6: Final answer
    x = 1,247.13

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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.