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Finding the Fourth Proportional to 2,217.01, 3,325.92 and 831.31

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Solution

The fourth proportional to 2,217.01, 3,325.92 and 831.31 is: 1,247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.01 : 3,325.92 = 831.31 : x
  2. Step 2: Convert to fraction form
    2,217.01/3,325.92 = 831.31/x
  3. Step 3: Cross multiply
    2,217.01x = 3,325.92 × 831.31
  4. Step 4: Simplify right side
    2,217.01x = 2,764,870.56
  5. Step 5: Solve for x
    x = 2,764,870.56/2,217.01
  6. Step 6: Final answer
    x = 1,247.12

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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.