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Finding the Fourth Proportional to 2,891.47, 3,990.22 and 1,565.17

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Solution

The fourth proportional to 2,891.47, 3,990.22 and 1,565.17 is: 2,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.47 : 3,990.22 = 1,565.17 : x
  2. Step 2: Convert to fraction form
    2,891.47/3,990.22 = 1,565.17/x
  3. Step 3: Cross multiply
    2,891.47x = 3,990.22 × 1,565.17
  4. Step 4: Simplify right side
    2,891.47x = 6,245,372.64
  5. Step 5: Solve for x
    x = 6,245,372.64/2,891.47
  6. Step 6: Final answer
    x = 2,159.93

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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.