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Finding the Fourth Proportional to 2,819.54, 3,891.44 and 1,641.31

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Solution

The fourth proportional to 2,819.54, 3,891.44 and 1,641.31 is: 2,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.54 : 3,891.44 = 1,641.31 : x
  2. Step 2: Convert to fraction form
    2,819.54/3,891.44 = 1,641.31/x
  3. Step 3: Cross multiply
    2,819.54x = 3,891.44 × 1,641.31
  4. Step 4: Simplify right side
    2,819.54x = 6,387,053.76
  5. Step 5: Solve for x
    x = 6,387,053.76/2,819.54
  6. Step 6: Final answer
    x = 2,265.28

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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.