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Finding the Fourth Proportional to 2,166.96, 3,249.22 and 1,289.73

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Solution

The fourth proportional to 2,166.96, 3,249.22 and 1,289.73 is: 1,933.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.96 : 3,249.22 = 1,289.73 : x
  2. Step 2: Convert to fraction form
    2,166.96/3,249.22 = 1,289.73/x
  3. Step 3: Cross multiply
    2,166.96x = 3,249.22 × 1,289.73
  4. Step 4: Simplify right side
    2,166.96x = 4,190,610.06
  5. Step 5: Solve for x
    x = 4,190,610.06/2,166.96
  6. Step 6: Final answer
    x = 1,933.87

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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.