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Finding the Fourth Proportional to 2,638.47, 3,958.22 and 789.43

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Solution

The fourth proportional to 2,638.47, 3,958.22 and 789.43 is: 1,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.47 : 3,958.22 = 789.43 : x
  2. Step 2: Convert to fraction form
    2,638.47/3,958.22 = 789.43/x
  3. Step 3: Cross multiply
    2,638.47x = 3,958.22 × 789.43
  4. Step 4: Simplify right side
    2,638.47x = 3,124,726.73
  5. Step 5: Solve for x
    x = 3,124,726.73/2,638.47
  6. Step 6: Final answer
    x = 1,184.29

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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.