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Finding the Fourth Proportional to 2,449.26, 3,674.97 and 1,216.71

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Solution

The fourth proportional to 2,449.26, 3,674.97 and 1,216.71 is: 1,825.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.26 : 3,674.97 = 1,216.71 : x
  2. Step 2: Convert to fraction form
    2,449.26/3,674.97 = 1,216.71/x
  3. Step 3: Cross multiply
    2,449.26x = 3,674.97 × 1,216.71
  4. Step 4: Simplify right side
    2,449.26x = 4,471,372.75
  5. Step 5: Solve for x
    x = 4,471,372.75/2,449.26
  6. Step 6: Final answer
    x = 1,825.60

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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.