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Finding the Fourth Proportional to 2,524.54, 3,787.01 and 793.16

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Solution

The fourth proportional to 2,524.54, 3,787.01 and 793.16 is: 1,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.54 : 3,787.01 = 793.16 : x
  2. Step 2: Convert to fraction form
    2,524.54/3,787.01 = 793.16/x
  3. Step 3: Cross multiply
    2,524.54x = 3,787.01 × 793.16
  4. Step 4: Simplify right side
    2,524.54x = 3,003,704.85
  5. Step 5: Solve for x
    x = 3,003,704.85/2,524.54
  6. Step 6: Final answer
    x = 1,189.80

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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.