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Finding the Fourth Proportional to 2,662.75, 3,993.97 and 813.86

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Solution

The fourth proportional to 2,662.75, 3,993.97 and 813.86 is: 1,220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.75 : 3,993.97 = 813.86 : x
  2. Step 2: Convert to fraction form
    2,662.75/3,993.97 = 813.86/x
  3. Step 3: Cross multiply
    2,662.75x = 3,993.97 × 813.86
  4. Step 4: Simplify right side
    2,662.75x = 3,250,531.45
  5. Step 5: Solve for x
    x = 3,250,531.45/2,662.75
  6. Step 6: Final answer
    x = 1,220.74

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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.