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Finding the Fourth Proportional to 3,067.56, 4,601.34 and 1,605.69

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Solution

The fourth proportional to 3,067.56, 4,601.34 and 1,605.69 is: 2,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.56 : 4,601.34 = 1,605.69 : x
  2. Step 2: Convert to fraction form
    3,067.56/4,601.34 = 1,605.69/x
  3. Step 3: Cross multiply
    3,067.56x = 4,601.34 × 1,605.69
  4. Step 4: Simplify right side
    3,067.56x = 7,388,325.62
  5. Step 5: Solve for x
    x = 7,388,325.62/3,067.56
  6. Step 6: Final answer
    x = 2,408.54

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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.