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Finding the Fourth Proportional to 2,769.20, 4,151.73 and 2,490.73

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Solution

The fourth proportional to 2,769.20, 4,151.73 and 2,490.73 is: 3,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.20 : 4,151.73 = 2,490.73 : x
  2. Step 2: Convert to fraction form
    2,769.20/4,151.73 = 2,490.73/x
  3. Step 3: Cross multiply
    2,769.20x = 4,151.73 × 2,490.73
  4. Step 4: Simplify right side
    2,769.20x = 10,340,805.25
  5. Step 5: Solve for x
    x = 10,340,805.25/2,769.20
  6. Step 6: Final answer
    x = 3,734.22

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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.