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Finding the Fourth Proportional to 2,092.56, 3,138.48 and 793.68

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Solution

The fourth proportional to 2,092.56, 3,138.48 and 793.68 is: 1,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.56 : 3,138.48 = 793.68 : x
  2. Step 2: Convert to fraction form
    2,092.56/3,138.48 = 793.68/x
  3. Step 3: Cross multiply
    2,092.56x = 3,138.48 × 793.68
  4. Step 4: Simplify right side
    2,092.56x = 2,490,948.81
  5. Step 5: Solve for x
    x = 2,490,948.81/2,092.56
  6. Step 6: Final answer
    x = 1,190.38

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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.