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Finding the Fourth Proportional to 1,836.26, 2,754.41 and 449.61

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Solution

The fourth proportional to 1,836.26, 2,754.41 and 449.61 is: 674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.26 : 2,754.41 = 449.61 : x
  2. Step 2: Convert to fraction form
    1,836.26/2,754.41 = 449.61/x
  3. Step 3: Cross multiply
    1,836.26x = 2,754.41 × 449.61
  4. Step 4: Simplify right side
    1,836.26x = 1,238,408.03
  5. Step 5: Solve for x
    x = 1,238,408.03/1,836.26
  6. Step 6: Final answer
    x = 674.42

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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.