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Finding the Fourth Proportional to 2,769.12, 4,149 and 1,793.21

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Solution

The fourth proportional to 2,769.12, 4,149 and 1,793.21 is: 2,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.12 : 4,149 = 1,793.21 : x
  2. Step 2: Convert to fraction form
    2,769.12/4,149 = 1,793.21/x
  3. Step 3: Cross multiply
    2,769.12x = 4,149 × 1,793.21
  4. Step 4: Simplify right side
    2,769.12x = 7,440,007.55
  5. Step 5: Solve for x
    x = 7,440,007.55/2,769.12
  6. Step 6: Final answer
    x = 2,686.78

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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.