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Finding the Fourth Proportional to 2,819.69, 3,891.57 and 1,641.14

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Solution

The fourth proportional to 2,819.69, 3,891.57 and 1,641.14 is: 2,265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.69 : 3,891.57 = 1,641.14 : x
  2. Step 2: Convert to fraction form
    2,819.69/3,891.57 = 1,641.14/x
  3. Step 3: Cross multiply
    2,819.69x = 3,891.57 × 1,641.14
  4. Step 4: Simplify right side
    2,819.69x = 6,386,591.73
  5. Step 5: Solve for x
    x = 6,386,591.73/2,819.69
  6. Step 6: Final answer
    x = 2,265.00

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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.