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Finding the Fourth Proportional to 3,290.14, 4,540.20 and 1,797.97

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Solution

The fourth proportional to 3,290.14, 4,540.20 and 1,797.97 is: 2,481.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.14 : 4,540.20 = 1,797.97 : x
  2. Step 2: Convert to fraction form
    3,290.14/4,540.20 = 1,797.97/x
  3. Step 3: Cross multiply
    3,290.14x = 4,540.20 × 1,797.97
  4. Step 4: Simplify right side
    3,290.14x = 8,163,143.39
  5. Step 5: Solve for x
    x = 8,163,143.39/3,290.14
  6. Step 6: Final answer
    x = 2,481.09

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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.