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Finding the Fourth Proportional to 2,600.43, 3,589.49 and 1,605.80

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Solution

The fourth proportional to 2,600.43, 3,589.49 and 1,605.80 is: 2,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.43 : 3,589.49 = 1,605.80 : x
  2. Step 2: Convert to fraction form
    2,600.43/3,589.49 = 1,605.80/x
  3. Step 3: Cross multiply
    2,600.43x = 3,589.49 × 1,605.80
  4. Step 4: Simplify right side
    2,600.43x = 5,764,001.42
  5. Step 5: Solve for x
    x = 5,764,001.42/2,600.43
  6. Step 6: Final answer
    x = 2,216.56

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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.