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Finding the Fourth Proportional to 2,252.72, 3,379.12 and 791.88

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Solution

The fourth proportional to 2,252.72, 3,379.12 and 791.88 is: 1,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.72 : 3,379.12 = 791.88 : x
  2. Step 2: Convert to fraction form
    2,252.72/3,379.12 = 791.88/x
  3. Step 3: Cross multiply
    2,252.72x = 3,379.12 × 791.88
  4. Step 4: Simplify right side
    2,252.72x = 2,675,857.55
  5. Step 5: Solve for x
    x = 2,675,857.55/2,252.72
  6. Step 6: Final answer
    x = 1,187.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.