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Finding the Fourth Proportional to 2,891.88, 3,990.76 and 1,565.58

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Solution

The fourth proportional to 2,891.88, 3,990.76 and 1,565.58 is: 2,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.88 : 3,990.76 = 1,565.58 : x
  2. Step 2: Convert to fraction form
    2,891.88/3,990.76 = 1,565.58/x
  3. Step 3: Cross multiply
    2,891.88x = 3,990.76 × 1,565.58
  4. Step 4: Simplify right side
    2,891.88x = 6,247,854.04
  5. Step 5: Solve for x
    x = 6,247,854.04/2,891.88
  6. Step 6: Final answer
    x = 2,160.48

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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.