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Finding the Fourth Proportional to 2,260.98, 3,394.91 and 2,149.61

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Solution

The fourth proportional to 2,260.98, 3,394.91 and 2,149.61 is: 3,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.98 : 3,394.91 = 2,149.61 : x
  2. Step 2: Convert to fraction form
    2,260.98/3,394.91 = 2,149.61/x
  3. Step 3: Cross multiply
    2,260.98x = 3,394.91 × 2,149.61
  4. Step 4: Simplify right side
    2,260.98x = 7,297,720.88
  5. Step 5: Solve for x
    x = 7,297,720.88/2,260.98
  6. Step 6: Final answer
    x = 3,227.68

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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.