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Finding the Fourth Proportional to 2,226.52, 3,340.09 and 927.69

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Solution

The fourth proportional to 2,226.52, 3,340.09 and 927.69 is: 1,391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.52 : 3,340.09 = 927.69 : x
  2. Step 2: Convert to fraction form
    2,226.52/3,340.09 = 927.69/x
  3. Step 3: Cross multiply
    2,226.52x = 3,340.09 × 927.69
  4. Step 4: Simplify right side
    2,226.52x = 3,098,557.42
  5. Step 5: Solve for x
    x = 3,098,557.42/2,226.52
  6. Step 6: Final answer
    x = 1,391.66

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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.