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Finding the Fourth Proportional to 2,819.57, 3,866.76 and 2,701.31

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Solution

The fourth proportional to 2,819.57, 3,866.76 and 2,701.31 is: 3,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.57 : 3,866.76 = 2,701.31 : x
  2. Step 2: Convert to fraction form
    2,819.57/3,866.76 = 2,701.31/x
  3. Step 3: Cross multiply
    2,819.57x = 3,866.76 × 2,701.31
  4. Step 4: Simplify right side
    2,819.57x = 10,445,298.12
  5. Step 5: Solve for x
    x = 10,445,298.12/2,819.57
  6. Step 6: Final answer
    x = 3,704.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.