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Finding the Fourth Proportional to 2,144.16, 3,215.42 and 912.15

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Solution

The fourth proportional to 2,144.16, 3,215.42 and 912.15 is: 1,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.16 : 3,215.42 = 912.15 : x
  2. Step 2: Convert to fraction form
    2,144.16/3,215.42 = 912.15/x
  3. Step 3: Cross multiply
    2,144.16x = 3,215.42 × 912.15
  4. Step 4: Simplify right side
    2,144.16x = 2,932,940.79
  5. Step 5: Solve for x
    x = 2,932,940.79/2,144.16
  6. Step 6: Final answer
    x = 1,367.87

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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.