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Finding the Fourth Proportional to 4,229.74, 6,344.49 and 1,633.24

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Solution

The fourth proportional to 4,229.74, 6,344.49 and 1,633.24 is: 2,449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.74 : 6,344.49 = 1,633.24 : x
  2. Step 2: Convert to fraction form
    4,229.74/6,344.49 = 1,633.24/x
  3. Step 3: Cross multiply
    4,229.74x = 6,344.49 × 1,633.24
  4. Step 4: Simplify right side
    4,229.74x = 10,362,074.85
  5. Step 5: Solve for x
    x = 10,362,074.85/4,229.74
  6. Step 6: Final answer
    x = 2,449.81

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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.