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Finding the Fourth Proportional to 1,446.38, 1,996.26 and 857.24

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Solution

The fourth proportional to 1,446.38, 1,996.26 and 857.24 is: 1,183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.38 : 1,996.26 = 857.24 : x
  2. Step 2: Convert to fraction form
    1,446.38/1,996.26 = 857.24/x
  3. Step 3: Cross multiply
    1,446.38x = 1,996.26 × 857.24
  4. Step 4: Simplify right side
    1,446.38x = 1,711,273.92
  5. Step 5: Solve for x
    x = 1,711,273.92/1,446.38
  6. Step 6: Final answer
    x = 1,183.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.