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Finding the Fourth Proportional to 2,042.82, 2,819.21 and 1,256.92

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Solution

The fourth proportional to 2,042.82, 2,819.21 and 1,256.92 is: 1,734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.82 : 2,819.21 = 1,256.92 : x
  2. Step 2: Convert to fraction form
    2,042.82/2,819.21 = 1,256.92/x
  3. Step 3: Cross multiply
    2,042.82x = 2,819.21 × 1,256.92
  4. Step 4: Simplify right side
    2,042.82x = 3,543,508.10
  5. Step 5: Solve for x
    x = 3,543,508.10/2,042.82
  6. Step 6: Final answer
    x = 1,734.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.