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Finding the Fourth Proportional to 2,589.25, 3,574.61 and 1,982.44

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Solution

The fourth proportional to 2,589.25, 3,574.61 and 1,982.44 is: 2,736.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.25 : 3,574.61 = 1,982.44 : x
  2. Step 2: Convert to fraction form
    2,589.25/3,574.61 = 1,982.44/x
  3. Step 3: Cross multiply
    2,589.25x = 3,574.61 × 1,982.44
  4. Step 4: Simplify right side
    2,589.25x = 7,086,449.85
  5. Step 5: Solve for x
    x = 7,086,449.85/2,589.25
  6. Step 6: Final answer
    x = 2,736.87

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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.