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Finding the Fourth Proportional to 2,524.35, 3,786.38 and 769.31

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Solution

The fourth proportional to 2,524.35, 3,786.38 and 769.31 is: 1,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.35 : 3,786.38 = 769.31 : x
  2. Step 2: Convert to fraction form
    2,524.35/3,786.38 = 769.31/x
  3. Step 3: Cross multiply
    2,524.35x = 3,786.38 × 769.31
  4. Step 4: Simplify right side
    2,524.35x = 2,912,877.22
  5. Step 5: Solve for x
    x = 2,912,877.22/2,524.35
  6. Step 6: Final answer
    x = 1,153.91

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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.