Home / 2,272.20-3,408.30-733.20

Finding the Fourth Proportional to 2,272.20, 3,408.30 and 733.20

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Solution

The fourth proportional to 2,272.20, 3,408.30 and 733.20 is: 1,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.20 : 3,408.30 = 733.20 : x
  2. Step 2: Convert to fraction form
    2,272.20/3,408.30 = 733.20/x
  3. Step 3: Cross multiply
    2,272.20x = 3,408.30 × 733.20
  4. Step 4: Simplify right side
    2,272.20x = 2,498,965.56
  5. Step 5: Solve for x
    x = 2,498,965.56/2,272.20
  6. Step 6: Final answer
    x = 1,099.80

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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.