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Finding the Fourth Proportional to 2,891.94, 3,990.89 and 1,565.66

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Solution

The fourth proportional to 2,891.94, 3,990.89 and 1,565.66 is: 2,160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.94 : 3,990.89 = 1,565.66 : x
  2. Step 2: Convert to fraction form
    2,891.94/3,990.89 = 1,565.66/x
  3. Step 3: Cross multiply
    2,891.94x = 3,990.89 × 1,565.66
  4. Step 4: Simplify right side
    2,891.94x = 6,248,349.05
  5. Step 5: Solve for x
    x = 6,248,349.05/2,891.94
  6. Step 6: Final answer
    x = 2,160.61

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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.