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Finding the Fourth Proportional to 2,168.20, 3,236.54 and 2,008

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Solution

The fourth proportional to 2,168.20, 3,236.54 and 2,008 is: 2,997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.20 : 3,236.54 = 2,008 : x
  2. Step 2: Convert to fraction form
    2,168.20/3,236.54 = 2,008/x
  3. Step 3: Cross multiply
    2,168.20x = 3,236.54 × 2,008
  4. Step 4: Simplify right side
    2,168.20x = 6,498,972.32
  5. Step 5: Solve for x
    x = 6,498,972.32/2,168.20
  6. Step 6: Final answer
    x = 2,997.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.