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Finding the Fourth Proportional to 2,216.11, 3,324.17 and 656.14

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Solution

The fourth proportional to 2,216.11, 3,324.17 and 656.14 is: 984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.11 : 3,324.17 = 656.14 : x
  2. Step 2: Convert to fraction form
    2,216.11/3,324.17 = 656.14/x
  3. Step 3: Cross multiply
    2,216.11x = 3,324.17 × 656.14
  4. Step 4: Simplify right side
    2,216.11x = 2,181,120.90
  5. Step 5: Solve for x
    x = 2,181,120.90/2,216.11
  6. Step 6: Final answer
    x = 984.21

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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.