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Finding the Fourth Proportional to 2,249.92, 3,357.82 and 2,191.60

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Solution

The fourth proportional to 2,249.92, 3,357.82 and 2,191.60 is: 3,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.92 : 3,357.82 = 2,191.60 : x
  2. Step 2: Convert to fraction form
    2,249.92/3,357.82 = 2,191.60/x
  3. Step 3: Cross multiply
    2,249.92x = 3,357.82 × 2,191.60
  4. Step 4: Simplify right side
    2,249.92x = 7,358,998.31
  5. Step 5: Solve for x
    x = 7,358,998.31/2,249.92
  6. Step 6: Final answer
    x = 3,270.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.