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Finding the Fourth Proportional to 3,286.98, 4,930.17 and 1,339.03

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Solution

The fourth proportional to 3,286.98, 4,930.17 and 1,339.03 is: 2,008.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.98 : 4,930.17 = 1,339.03 : x
  2. Step 2: Convert to fraction form
    3,286.98/4,930.17 = 1,339.03/x
  3. Step 3: Cross multiply
    3,286.98x = 4,930.17 × 1,339.03
  4. Step 4: Simplify right side
    3,286.98x = 6,601,646.68
  5. Step 5: Solve for x
    x = 6,601,646.68/3,286.98
  6. Step 6: Final answer
    x = 2,008.42

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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.