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Finding the Fourth Proportional to 2,819.27, 4,229.31 and 871.64

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Solution

The fourth proportional to 2,819.27, 4,229.31 and 871.64 is: 1,307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.27 : 4,229.31 = 871.64 : x
  2. Step 2: Convert to fraction form
    2,819.27/4,229.31 = 871.64/x
  3. Step 3: Cross multiply
    2,819.27x = 4,229.31 × 871.64
  4. Step 4: Simplify right side
    2,819.27x = 3,686,435.77
  5. Step 5: Solve for x
    x = 3,686,435.77/2,819.27
  6. Step 6: Final answer
    x = 1,307.59

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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.