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Finding the Fourth Proportional to 2,166.86, 3,249.60 and 1,385.78

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Solution

The fourth proportional to 2,166.86, 3,249.60 and 1,385.78 is: 2,078.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.86 : 3,249.60 = 1,385.78 : x
  2. Step 2: Convert to fraction form
    2,166.86/3,249.60 = 1,385.78/x
  3. Step 3: Cross multiply
    2,166.86x = 3,249.60 × 1,385.78
  4. Step 4: Simplify right side
    2,166.86x = 4,503,230.69
  5. Step 5: Solve for x
    x = 4,503,230.69/2,166.86
  6. Step 6: Final answer
    x = 2,078.23

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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.