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Finding the Fourth Proportional to 2,092.24, 3,138.42 and 793.80

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Solution

The fourth proportional to 2,092.24, 3,138.42 and 793.80 is: 1,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.24 : 3,138.42 = 793.80 : x
  2. Step 2: Convert to fraction form
    2,092.24/3,138.42 = 793.80/x
  3. Step 3: Cross multiply
    2,092.24x = 3,138.42 × 793.80
  4. Step 4: Simplify right side
    2,092.24x = 2,491,277.80
  5. Step 5: Solve for x
    x = 2,491,277.80/2,092.24
  6. Step 6: Final answer
    x = 1,190.72

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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.