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Finding the Fourth Proportional to 2,524.48, 3,787.14 and 793

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Solution

The fourth proportional to 2,524.48, 3,787.14 and 793 is: 1,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.48 : 3,787.14 = 793 : x
  2. Step 2: Convert to fraction form
    2,524.48/3,787.14 = 793/x
  3. Step 3: Cross multiply
    2,524.48x = 3,787.14 × 793
  4. Step 4: Simplify right side
    2,524.48x = 3,003,202.02
  5. Step 5: Solve for x
    x = 3,003,202.02/2,524.48
  6. Step 6: Final answer
    x = 1,189.63

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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.