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Finding the Fourth Proportional to 2,561.57, 3,836.26 and 1,634.22

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Solution

The fourth proportional to 2,561.57, 3,836.26 and 1,634.22 is: 2,447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.57 : 3,836.26 = 1,634.22 : x
  2. Step 2: Convert to fraction form
    2,561.57/3,836.26 = 1,634.22/x
  3. Step 3: Cross multiply
    2,561.57x = 3,836.26 × 1,634.22
  4. Step 4: Simplify right side
    2,561.57x = 6,269,288.73
  5. Step 5: Solve for x
    x = 6,269,288.73/2,561.57
  6. Step 6: Final answer
    x = 2,447.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.