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Finding the Fourth Proportional to 2,489.72, 3,436.26 and 1,605.80

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Solution

The fourth proportional to 2,489.72, 3,436.26 and 1,605.80 is: 2,216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.72 : 3,436.26 = 1,605.80 : x
  2. Step 2: Convert to fraction form
    2,489.72/3,436.26 = 1,605.80/x
  3. Step 3: Cross multiply
    2,489.72x = 3,436.26 × 1,605.80
  4. Step 4: Simplify right side
    2,489.72x = 5,517,946.31
  5. Step 5: Solve for x
    x = 5,517,946.31/2,489.72
  6. Step 6: Final answer
    x = 2,216.29

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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.