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Finding the Fourth Proportional to 2,524.29, 3,786.62 and 769.44

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Solution

The fourth proportional to 2,524.29, 3,786.62 and 769.44 is: 1,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.29 : 3,786.62 = 769.44 : x
  2. Step 2: Convert to fraction form
    2,524.29/3,786.62 = 769.44/x
  3. Step 3: Cross multiply
    2,524.29x = 3,786.62 × 769.44
  4. Step 4: Simplify right side
    2,524.29x = 2,913,591.57
  5. Step 5: Solve for x
    x = 2,913,591.57/2,524.29
  6. Step 6: Final answer
    x = 1,154.22

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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.