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Finding the Fourth Proportional to 2,182.32, 3,273.58 and 866.34

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Solution

The fourth proportional to 2,182.32, 3,273.58 and 866.34 is: 1,299.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.32 : 3,273.58 = 866.34 : x
  2. Step 2: Convert to fraction form
    2,182.32/3,273.58 = 866.34/x
  3. Step 3: Cross multiply
    2,182.32x = 3,273.58 × 866.34
  4. Step 4: Simplify right side
    2,182.32x = 2,836,033.30
  5. Step 5: Solve for x
    x = 2,836,033.30/2,182.32
  6. Step 6: Final answer
    x = 1,299.55

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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.