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Finding the Fourth Proportional to 2,252.87, 3,379.30 and 791.69

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Solution

The fourth proportional to 2,252.87, 3,379.30 and 791.69 is: 1,187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.87 : 3,379.30 = 791.69 : x
  2. Step 2: Convert to fraction form
    2,252.87/3,379.30 = 791.69/x
  3. Step 3: Cross multiply
    2,252.87x = 3,379.30 × 791.69
  4. Step 4: Simplify right side
    2,252.87x = 2,675,341.12
  5. Step 5: Solve for x
    x = 2,675,341.12/2,252.87
  6. Step 6: Final answer
    x = 1,187.53

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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.