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Finding the Fourth Proportional to 2,262.22, 3,392.46 and 909.42

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Solution

The fourth proportional to 2,262.22, 3,392.46 and 909.42 is: 1,363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.22 : 3,392.46 = 909.42 : x
  2. Step 2: Convert to fraction form
    2,262.22/3,392.46 = 909.42/x
  3. Step 3: Cross multiply
    2,262.22x = 3,392.46 × 909.42
  4. Step 4: Simplify right side
    2,262.22x = 3,085,170.97
  5. Step 5: Solve for x
    x = 3,085,170.97/2,262.22
  6. Step 6: Final answer
    x = 1,363.78

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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.