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Finding the Fourth Proportional to 1,660.27, 2,290.35 and 996.97

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Solution

The fourth proportional to 1,660.27, 2,290.35 and 996.97 is: 1,375.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.27 : 2,290.35 = 996.97 : x
  2. Step 2: Convert to fraction form
    1,660.27/2,290.35 = 996.97/x
  3. Step 3: Cross multiply
    1,660.27x = 2,290.35 × 996.97
  4. Step 4: Simplify right side
    1,660.27x = 2,283,410.24
  5. Step 5: Solve for x
    x = 2,283,410.24/1,660.27
  6. Step 6: Final answer
    x = 1,375.32

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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.