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Finding the Fourth Proportional to 2,791.78, 3,853.22 and 1,673.38

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Solution

The fourth proportional to 2,791.78, 3,853.22 and 1,673.38 is: 2,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.78 : 3,853.22 = 1,673.38 : x
  2. Step 2: Convert to fraction form
    2,791.78/3,853.22 = 1,673.38/x
  3. Step 3: Cross multiply
    2,791.78x = 3,853.22 × 1,673.38
  4. Step 4: Simplify right side
    2,791.78x = 6,447,901.28
  5. Step 5: Solve for x
    x = 6,447,901.28/2,791.78
  6. Step 6: Final answer
    x = 2,309.60

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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.