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Finding the Fourth Proportional to 2,251.12, 3,377.66 and 791.32

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Solution

The fourth proportional to 2,251.12, 3,377.66 and 791.32 is: 1,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.12 : 3,377.66 = 791.32 : x
  2. Step 2: Convert to fraction form
    2,251.12/3,377.66 = 791.32/x
  3. Step 3: Cross multiply
    2,251.12x = 3,377.66 × 791.32
  4. Step 4: Simplify right side
    2,251.12x = 2,672,809.91
  5. Step 5: Solve for x
    x = 2,672,809.91/2,251.12
  6. Step 6: Final answer
    x = 1,187.32

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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.