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Finding the Fourth Proportional to 2,092.28, 3,139.62 and 793.40

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Solution

The fourth proportional to 2,092.28, 3,139.62 and 793.40 is: 1,190.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.28 : 3,139.62 = 793.40 : x
  2. Step 2: Convert to fraction form
    2,092.28/3,139.62 = 793.40/x
  3. Step 3: Cross multiply
    2,092.28x = 3,139.62 × 793.40
  4. Step 4: Simplify right side
    2,092.28x = 2,490,974.51
  5. Step 5: Solve for x
    x = 2,490,974.51/2,092.28
  6. Step 6: Final answer
    x = 1,190.56

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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.