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Finding the Fourth Proportional to 2,016, 3,024 and 800

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Solution

The fourth proportional to 2,016, 3,024 and 800 is: 1,200

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016 : 3,024 = 800 : x
  2. Step 2: Convert to fraction form
    2,016/3,024 = 800/x
  3. Step 3: Cross multiply
    2,016x = 3,024 × 800
  4. Step 4: Simplify right side
    2,016x = 2,419,200
  5. Step 5: Solve for x
    x = 2,419,200/2,016
  6. Step 6: Final answer
    x = 1,200

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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.