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Finding the Fourth Proportional to 2,167.27, 2,991.32 and 1,694.23

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Solution

The fourth proportional to 2,167.27, 2,991.32 and 1,694.23 is: 2,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.27 : 2,991.32 = 1,694.23 : x
  2. Step 2: Convert to fraction form
    2,167.27/2,991.32 = 1,694.23/x
  3. Step 3: Cross multiply
    2,167.27x = 2,991.32 × 1,694.23
  4. Step 4: Simplify right side
    2,167.27x = 5,067,984.08
  5. Step 5: Solve for x
    x = 5,067,984.08/2,167.27
  6. Step 6: Final answer
    x = 2,338.42

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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.