Home / 2,209.06-3,314.17-822.80

Finding the Fourth Proportional to 2,209.06, 3,314.17 and 822.80

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Solution

The fourth proportional to 2,209.06, 3,314.17 and 822.80 is: 1,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.06 : 3,314.17 = 822.80 : x
  2. Step 2: Convert to fraction form
    2,209.06/3,314.17 = 822.80/x
  3. Step 3: Cross multiply
    2,209.06x = 3,314.17 × 822.80
  4. Step 4: Simplify right side
    2,209.06x = 2,726,899.08
  5. Step 5: Solve for x
    x = 2,726,899.08/2,209.06
  6. Step 6: Final answer
    x = 1,234.42

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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.