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Finding the Fourth Proportional to 2,498.96, 3,447.68 and 1,503.48

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Solution

The fourth proportional to 2,498.96, 3,447.68 and 1,503.48 is: 2,074.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.96 : 3,447.68 = 1,503.48 : x
  2. Step 2: Convert to fraction form
    2,498.96/3,447.68 = 1,503.48/x
  3. Step 3: Cross multiply
    2,498.96x = 3,447.68 × 1,503.48
  4. Step 4: Simplify right side
    2,498.96x = 5,183,517.93
  5. Step 5: Solve for x
    x = 5,183,517.93/2,498.96
  6. Step 6: Final answer
    x = 2,074.27

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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.