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Finding the Fourth Proportional to 2,139.44, 3,209.41 and 822.88

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Solution

The fourth proportional to 2,139.44, 3,209.41 and 822.88 is: 1,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.44 : 3,209.41 = 822.88 : x
  2. Step 2: Convert to fraction form
    2,139.44/3,209.41 = 822.88/x
  3. Step 3: Cross multiply
    2,139.44x = 3,209.41 × 822.88
  4. Step 4: Simplify right side
    2,139.44x = 2,640,975.68
  5. Step 5: Solve for x
    x = 2,640,975.68/2,139.44
  6. Step 6: Final answer
    x = 1,234.43

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1.5x scale

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.