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Finding the Fourth Proportional to 3,111.87, 4,667.82 and 1,163.64

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Solution

The fourth proportional to 3,111.87, 4,667.82 and 1,163.64 is: 1,745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.87 : 4,667.82 = 1,163.64 : x
  2. Step 2: Convert to fraction form
    3,111.87/4,667.82 = 1,163.64/x
  3. Step 3: Cross multiply
    3,111.87x = 4,667.82 × 1,163.64
  4. Step 4: Simplify right side
    3,111.87x = 5,431,662.06
  5. Step 5: Solve for x
    x = 5,431,662.06/3,111.87
  6. Step 6: Final answer
    x = 1,745.47

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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.