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Finding the Fourth Proportional to 2,183.24, 3,272.73 and 866.56

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Solution

The fourth proportional to 2,183.24, 3,272.73 and 866.56 is: 1,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.24 : 3,272.73 = 866.56 : x
  2. Step 2: Convert to fraction form
    2,183.24/3,272.73 = 866.56/x
  3. Step 3: Cross multiply
    2,183.24x = 3,272.73 × 866.56
  4. Step 4: Simplify right side
    2,183.24x = 2,836,000.38
  5. Step 5: Solve for x
    x = 2,836,000.38/2,183.24
  6. Step 6: Final answer
    x = 1,298.99

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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.