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Finding the Fourth Proportional to 2,638.40, 3,958.22 and 789.65

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Solution

The fourth proportional to 2,638.40, 3,958.22 and 789.65 is: 1,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.40 : 3,958.22 = 789.65 : x
  2. Step 2: Convert to fraction form
    2,638.40/3,958.22 = 789.65/x
  3. Step 3: Cross multiply
    2,638.40x = 3,958.22 × 789.65
  4. Step 4: Simplify right side
    2,638.40x = 3,125,608.42
  5. Step 5: Solve for x
    x = 3,125,608.42/2,638.40
  6. Step 6: Final answer
    x = 1,184.66

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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.