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Finding the Fourth Proportional to 2,819.10, 4,227.09 and 871.05

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Solution

The fourth proportional to 2,819.10, 4,227.09 and 871.05 is: 1,306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.10 : 4,227.09 = 871.05 : x
  2. Step 2: Convert to fraction form
    2,819.10/4,227.09 = 871.05/x
  3. Step 3: Cross multiply
    2,819.10x = 4,227.09 × 871.05
  4. Step 4: Simplify right side
    2,819.10x = 3,682,006.74
  5. Step 5: Solve for x
    x = 3,682,006.74/2,819.10
  6. Step 6: Final answer
    x = 1,306.09

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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.