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Finding the Fourth Proportional to 2,819.93, 3,891.96 and 1,641.69

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Solution

The fourth proportional to 2,819.93, 3,891.96 and 1,641.69 is: 2,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.93 : 3,891.96 = 1,641.69 : x
  2. Step 2: Convert to fraction form
    2,819.93/3,891.96 = 1,641.69/x
  3. Step 3: Cross multiply
    2,819.93x = 3,891.96 × 1,641.69
  4. Step 4: Simplify right side
    2,819.93x = 6,389,391.81
  5. Step 5: Solve for x
    x = 6,389,391.81/2,819.93
  6. Step 6: Final answer
    x = 2,265.80

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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.