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Finding the Fourth Proportional to 2,769.22, 4,128.17 and 2,561.86

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Solution

The fourth proportional to 2,769.22, 4,128.17 and 2,561.86 is: 3,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.22 : 4,128.17 = 2,561.86 : x
  2. Step 2: Convert to fraction form
    2,769.22/4,128.17 = 2,561.86/x
  3. Step 3: Cross multiply
    2,769.22x = 4,128.17 × 2,561.86
  4. Step 4: Simplify right side
    2,769.22x = 10,575,793.60
  5. Step 5: Solve for x
    x = 10,575,793.60/2,769.22
  6. Step 6: Final answer
    x = 3,819.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.