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Finding the Fourth Proportional to 2,449.12, 3,674.16 and 1,217.44

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Solution

The fourth proportional to 2,449.12, 3,674.16 and 1,217.44 is: 1,826.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.12 : 3,674.16 = 1,217.44 : x
  2. Step 2: Convert to fraction form
    2,449.12/3,674.16 = 1,217.44/x
  3. Step 3: Cross multiply
    2,449.12x = 3,674.16 × 1,217.44
  4. Step 4: Simplify right side
    2,449.12x = 4,473,069.35
  5. Step 5: Solve for x
    x = 4,473,069.35/2,449.12
  6. Step 6: Final answer
    x = 1,826.40

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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.