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Finding the Fourth Proportional to 1,889.20, 2,608.37 and 1,446.31

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Solution

The fourth proportional to 1,889.20, 2,608.37 and 1,446.31 is: 1,996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.20 : 2,608.37 = 1,446.31 : x
  2. Step 2: Convert to fraction form
    1,889.20/2,608.37 = 1,446.31/x
  3. Step 3: Cross multiply
    1,889.20x = 2,608.37 × 1,446.31
  4. Step 4: Simplify right side
    1,889.20x = 3,772,504.38
  5. Step 5: Solve for x
    x = 3,772,504.38/1,889.20
  6. Step 6: Final answer
    x = 1,996.88

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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.