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Finding the Fourth Proportional to 2,638.39, 3,958.15 and 789.67

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Solution

The fourth proportional to 2,638.39, 3,958.15 and 789.67 is: 1,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.39 : 3,958.15 = 789.67 : x
  2. Step 2: Convert to fraction form
    2,638.39/3,958.15 = 789.67/x
  3. Step 3: Cross multiply
    2,638.39x = 3,958.15 × 789.67
  4. Step 4: Simplify right side
    2,638.39x = 3,125,632.31
  5. Step 5: Solve for x
    x = 3,125,632.31/2,638.39
  6. Step 6: Final answer
    x = 1,184.67

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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.