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Finding the Fourth Proportional to 2,251.87, 3,377.79 and 791.03

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Solution

The fourth proportional to 2,251.87, 3,377.79 and 791.03 is: 1,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.87 : 3,377.79 = 791.03 : x
  2. Step 2: Convert to fraction form
    2,251.87/3,377.79 = 791.03/x
  3. Step 3: Cross multiply
    2,251.87x = 3,377.79 × 791.03
  4. Step 4: Simplify right side
    2,251.87x = 2,671,933.22
  5. Step 5: Solve for x
    x = 2,671,933.22/2,251.87
  6. Step 6: Final answer
    x = 1,186.54

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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.