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Finding the Fourth Proportional to 2,524.96, 3,787.79 and 676.14

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Solution

The fourth proportional to 2,524.96, 3,787.79 and 676.14 is: 1,014.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.96 : 3,787.79 = 676.14 : x
  2. Step 2: Convert to fraction form
    2,524.96/3,787.79 = 676.14/x
  3. Step 3: Cross multiply
    2,524.96x = 3,787.79 × 676.14
  4. Step 4: Simplify right side
    2,524.96x = 2,561,076.33
  5. Step 5: Solve for x
    x = 2,561,076.33/2,524.96
  6. Step 6: Final answer
    x = 1,014.30

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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.