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Finding the Fourth Proportional to 3,244, 4,866 and 1,192

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Solution

The fourth proportional to 3,244, 4,866 and 1,192 is: 1,788

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244 : 4,866 = 1,192 : x
  2. Step 2: Convert to fraction form
    3,244/4,866 = 1,192/x
  3. Step 3: Cross multiply
    3,244x = 4,866 × 1,192
  4. Step 4: Simplify right side
    3,244x = 5,800,272
  5. Step 5: Solve for x
    x = 5,800,272/3,244
  6. Step 6: Final answer
    x = 1,788

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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.