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Finding the Fourth Proportional to 2,498.12, 3,447.42 and 1,503.41

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Solution

The fourth proportional to 2,498.12, 3,447.42 and 1,503.41 is: 2,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.12 : 3,447.42 = 1,503.41 : x
  2. Step 2: Convert to fraction form
    2,498.12/3,447.42 = 1,503.41/x
  3. Step 3: Cross multiply
    2,498.12x = 3,447.42 × 1,503.41
  4. Step 4: Simplify right side
    2,498.12x = 5,182,868.47
  5. Step 5: Solve for x
    x = 5,182,868.47/2,498.12
  6. Step 6: Final answer
    x = 2,074.71

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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.