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Finding the Fourth Proportional to 2,668.85, 3,997.92 and 2,450.86

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Solution

The fourth proportional to 2,668.85, 3,997.92 and 2,450.86 is: 3,671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.85 : 3,997.92 = 2,450.86 : x
  2. Step 2: Convert to fraction form
    2,668.85/3,997.92 = 2,450.86/x
  3. Step 3: Cross multiply
    2,668.85x = 3,997.92 × 2,450.86
  4. Step 4: Simplify right side
    2,668.85x = 9,798,352.21
  5. Step 5: Solve for x
    x = 9,798,352.21/2,668.85
  6. Step 6: Final answer
    x = 3,671.37

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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.