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Finding the Fourth Proportional to 2,765.92, 4,150.68 and 2,543.44

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Solution

The fourth proportional to 2,765.92, 4,150.68 and 2,543.44 is: 3,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.92 : 4,150.68 = 2,543.44 : x
  2. Step 2: Convert to fraction form
    2,765.92/4,150.68 = 2,543.44/x
  3. Step 3: Cross multiply
    2,765.92x = 4,150.68 × 2,543.44
  4. Step 4: Simplify right side
    2,765.92x = 10,557,005.54
  5. Step 5: Solve for x
    x = 10,557,005.54/2,765.92
  6. Step 6: Final answer
    x = 3,816.82

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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.