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Finding the Fourth Proportional to 2,891.66, 3,990.49 and 1,565.37

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Solution

The fourth proportional to 2,891.66, 3,990.49 and 1,565.37 is: 2,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.66 : 3,990.49 = 1,565.37 : x
  2. Step 2: Convert to fraction form
    2,891.66/3,990.49 = 1,565.37/x
  3. Step 3: Cross multiply
    2,891.66x = 3,990.49 × 1,565.37
  4. Step 4: Simplify right side
    2,891.66x = 6,246,585.50
  5. Step 5: Solve for x
    x = 6,246,585.50/2,891.66
  6. Step 6: Final answer
    x = 2,160.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.