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Finding the Fourth Proportional to 2,168.36, 3,251.97 and 608.27

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Solution

The fourth proportional to 2,168.36, 3,251.97 and 608.27 is: 912.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.36 : 3,251.97 = 608.27 : x
  2. Step 2: Convert to fraction form
    2,168.36/3,251.97 = 608.27/x
  3. Step 3: Cross multiply
    2,168.36x = 3,251.97 × 608.27
  4. Step 4: Simplify right side
    2,168.36x = 1,978,059.53
  5. Step 5: Solve for x
    x = 1,978,059.53/2,168.36
  6. Step 6: Final answer
    x = 912.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.