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Finding the Fourth Proportional to 2,067.49, 3,094.02 and 1,692.97

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Solution

The fourth proportional to 2,067.49, 3,094.02 and 1,692.97 is: 2,533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.49 : 3,094.02 = 1,692.97 : x
  2. Step 2: Convert to fraction form
    2,067.49/3,094.02 = 1,692.97/x
  3. Step 3: Cross multiply
    2,067.49x = 3,094.02 × 1,692.97
  4. Step 4: Simplify right side
    2,067.49x = 5,238,083.04
  5. Step 5: Solve for x
    x = 5,238,083.04/2,067.49
  6. Step 6: Final answer
    x = 2,533.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.