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Finding the Fourth Proportional to 1,967.97, 2,709.08 and 1,791.66

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Solution

The fourth proportional to 1,967.97, 2,709.08 and 1,791.66 is: 2,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.97 : 2,709.08 = 1,791.66 : x
  2. Step 2: Convert to fraction form
    1,967.97/2,709.08 = 1,791.66/x
  3. Step 3: Cross multiply
    1,967.97x = 2,709.08 × 1,791.66
  4. Step 4: Simplify right side
    1,967.97x = 4,853,758.19
  5. Step 5: Solve for x
    x = 4,853,758.19/1,967.97
  6. Step 6: Final answer
    x = 2,466.37

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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.