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Finding the Fourth Proportional to 2,092.60, 3,140.14 and 794.20

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Solution

The fourth proportional to 2,092.60, 3,140.14 and 794.20 is: 1,191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.60 : 3,140.14 = 794.20 : x
  2. Step 2: Convert to fraction form
    2,092.60/3,140.14 = 794.20/x
  3. Step 3: Cross multiply
    2,092.60x = 3,140.14 × 794.20
  4. Step 4: Simplify right side
    2,092.60x = 2,493,899.19
  5. Step 5: Solve for x
    x = 2,493,899.19/2,092.60
  6. Step 6: Final answer
    x = 1,191.77

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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.