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Finding the Fourth Proportional to 2,524.70, 3,787.17 and 793.46

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Solution

The fourth proportional to 2,524.70, 3,787.17 and 793.46 is: 1,190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.70 : 3,787.17 = 793.46 : x
  2. Step 2: Convert to fraction form
    2,524.70/3,787.17 = 793.46/x
  3. Step 3: Cross multiply
    2,524.70x = 3,787.17 × 793.46
  4. Step 4: Simplify right side
    2,524.70x = 3,004,948.97
  5. Step 5: Solve for x
    x = 3,004,948.97/2,524.70
  6. Step 6: Final answer
    x = 1,190.22

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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.