Home / 2,182.06-3,273.90-1,027

Finding the Fourth Proportional to 2,182.06, 3,273.90 and 1,027

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Solution

The fourth proportional to 2,182.06, 3,273.90 and 1,027 is: 1,540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.06 : 3,273.90 = 1,027 : x
  2. Step 2: Convert to fraction form
    2,182.06/3,273.90 = 1,027/x
  3. Step 3: Cross multiply
    2,182.06x = 3,273.90 × 1,027
  4. Step 4: Simplify right side
    2,182.06x = 3,362,295.30
  5. Step 5: Solve for x
    x = 3,362,295.30/2,182.06
  6. Step 6: Final answer
    x = 1,540.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.