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Finding the Fourth Proportional to 2,138.27, 3,204.20 and 967.62

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Solution

The fourth proportional to 2,138.27, 3,204.20 and 967.62 is: 1,449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.27 : 3,204.20 = 967.62 : x
  2. Step 2: Convert to fraction form
    2,138.27/3,204.20 = 967.62/x
  3. Step 3: Cross multiply
    2,138.27x = 3,204.20 × 967.62
  4. Step 4: Simplify right side
    2,138.27x = 3,100,450.42
  5. Step 5: Solve for x
    x = 3,100,450.42/2,138.27
  6. Step 6: Final answer
    x = 1,449.98

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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.