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Finding the Fourth Proportional to 2,251.93, 3,377.93 and 791.10

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Solution

The fourth proportional to 2,251.93, 3,377.93 and 791.10 is: 1,186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.93 : 3,377.93 = 791.10 : x
  2. Step 2: Convert to fraction form
    2,251.93/3,377.93 = 791.10/x
  3. Step 3: Cross multiply
    2,251.93x = 3,377.93 × 791.10
  4. Step 4: Simplify right side
    2,251.93x = 2,672,280.42
  5. Step 5: Solve for x
    x = 2,672,280.42/2,251.93
  6. Step 6: Final answer
    x = 1,186.66

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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.