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Finding the Fourth Proportional to 2,216.38, 3,324.98 and 917.96

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Solution

The fourth proportional to 2,216.38, 3,324.98 and 917.96 is: 1,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.38 : 3,324.98 = 917.96 : x
  2. Step 2: Convert to fraction form
    2,216.38/3,324.98 = 917.96/x
  3. Step 3: Cross multiply
    2,216.38x = 3,324.98 × 917.96
  4. Step 4: Simplify right side
    2,216.38x = 3,052,198.64
  5. Step 5: Solve for x
    x = 3,052,198.64/2,216.38
  6. Step 6: Final answer
    x = 1,377.11

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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.