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Finding the Fourth Proportional to 2,249.39, 3,375.12 and 862.26

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Solution

The fourth proportional to 2,249.39, 3,375.12 and 862.26 is: 1,293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.39 : 3,375.12 = 862.26 : x
  2. Step 2: Convert to fraction form
    2,249.39/3,375.12 = 862.26/x
  3. Step 3: Cross multiply
    2,249.39x = 3,375.12 × 862.26
  4. Step 4: Simplify right side
    2,249.39x = 2,910,230.97
  5. Step 5: Solve for x
    x = 2,910,230.97/2,249.39
  6. Step 6: Final answer
    x = 1,293.79

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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.