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Finding the Fourth Proportional to 2,618.97, 3,930.51 and 2,311.44

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Solution

The fourth proportional to 2,618.97, 3,930.51 and 2,311.44 is: 3,468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.97 : 3,930.51 = 2,311.44 : x
  2. Step 2: Convert to fraction form
    2,618.97/3,930.51 = 2,311.44/x
  3. Step 3: Cross multiply
    2,618.97x = 3,930.51 × 2,311.44
  4. Step 4: Simplify right side
    2,618.97x = 9,085,138.03
  5. Step 5: Solve for x
    x = 9,085,138.03/2,618.97
  6. Step 6: Final answer
    x = 3,468.97

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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.