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Finding the Fourth Proportional to 2,272.04, 3,408.05 and 733.04

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Solution

The fourth proportional to 2,272.04, 3,408.05 and 733.04 is: 1,099.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.04 : 3,408.05 = 733.04 : x
  2. Step 2: Convert to fraction form
    2,272.04/3,408.05 = 733.04/x
  3. Step 3: Cross multiply
    2,272.04x = 3,408.05 × 733.04
  4. Step 4: Simplify right side
    2,272.04x = 2,498,216.27
  5. Step 5: Solve for x
    x = 2,498,216.27/2,272.04
  6. Step 6: Final answer
    x = 1,099.55

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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.