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Finding the Fourth Proportional to 2,365.73, 3,548.57 and 1,067.20

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Solution

The fourth proportional to 2,365.73, 3,548.57 and 1,067.20 is: 1,600.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.73 : 3,548.57 = 1,067.20 : x
  2. Step 2: Convert to fraction form
    2,365.73/3,548.57 = 1,067.20/x
  3. Step 3: Cross multiply
    2,365.73x = 3,548.57 × 1,067.20
  4. Step 4: Simplify right side
    2,365.73x = 3,787,033.90
  5. Step 5: Solve for x
    x = 3,787,033.90/2,365.73
  6. Step 6: Final answer
    x = 1,600.79

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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.