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Finding the Fourth Proportional to 2,891.62, 3,990.41 and 1,565.29

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Solution

The fourth proportional to 2,891.62, 3,990.41 and 1,565.29 is: 2,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.62 : 3,990.41 = 1,565.29 : x
  2. Step 2: Convert to fraction form
    2,891.62/3,990.41 = 1,565.29/x
  3. Step 3: Cross multiply
    2,891.62x = 3,990.41 × 1,565.29
  4. Step 4: Simplify right side
    2,891.62x = 6,246,131.07
  5. Step 5: Solve for x
    x = 6,246,131.07/2,891.62
  6. Step 6: Final answer
    x = 2,160.08

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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.