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Finding the Fourth Proportional to 2,524.72, 3,785.71 and 1,938.25

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Solution

The fourth proportional to 2,524.72, 3,785.71 and 1,938.25 is: 2,906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.72 : 3,785.71 = 1,938.25 : x
  2. Step 2: Convert to fraction form
    2,524.72/3,785.71 = 1,938.25/x
  3. Step 3: Cross multiply
    2,524.72x = 3,785.71 × 1,938.25
  4. Step 4: Simplify right side
    2,524.72x = 7,337,672.03
  5. Step 5: Solve for x
    x = 7,337,672.03/2,524.72
  6. Step 6: Final answer
    x = 2,906.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.