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Finding the Fourth Proportional to 2,092.71, 3,139.17 and 794.28

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Solution

The fourth proportional to 2,092.71, 3,139.17 and 794.28 is: 1,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.71 : 3,139.17 = 794.28 : x
  2. Step 2: Convert to fraction form
    2,092.71/3,139.17 = 794.28/x
  3. Step 3: Cross multiply
    2,092.71x = 3,139.17 × 794.28
  4. Step 4: Simplify right side
    2,092.71x = 2,493,379.95
  5. Step 5: Solve for x
    x = 2,493,379.95/2,092.71
  6. Step 6: Final answer
    x = 1,191.46

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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.