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Finding the Fourth Proportional to 2,455.26, 3,680.79 and 1,067.53

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Solution

The fourth proportional to 2,455.26, 3,680.79 and 1,067.53 is: 1,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.26 : 3,680.79 = 1,067.53 : x
  2. Step 2: Convert to fraction form
    2,455.26/3,680.79 = 1,067.53/x
  3. Step 3: Cross multiply
    2,455.26x = 3,680.79 × 1,067.53
  4. Step 4: Simplify right side
    2,455.26x = 3,929,353.75
  5. Step 5: Solve for x
    x = 3,929,353.75/2,455.26
  6. Step 6: Final answer
    x = 1,600.38

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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.