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Finding the Fourth Proportional to 2,498.26, 3,447.05 and 1,449.72

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Solution

The fourth proportional to 2,498.26, 3,447.05 and 1,449.72 is: 2,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.26 : 3,447.05 = 1,449.72 : x
  2. Step 2: Convert to fraction form
    2,498.26/3,447.05 = 1,449.72/x
  3. Step 3: Cross multiply
    2,498.26x = 3,447.05 × 1,449.72
  4. Step 4: Simplify right side
    2,498.26x = 4,997,257.33
  5. Step 5: Solve for x
    x = 4,997,257.33/2,498.26
  6. Step 6: Final answer
    x = 2,000.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.