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Finding the Fourth Proportional to 3,163.44, 4,745.20 and 1,110

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Solution

The fourth proportional to 3,163.44, 4,745.20 and 1,110 is: 1,665.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.44 : 4,745.20 = 1,110 : x
  2. Step 2: Convert to fraction form
    3,163.44/4,745.20 = 1,110/x
  3. Step 3: Cross multiply
    3,163.44x = 4,745.20 × 1,110
  4. Step 4: Simplify right side
    3,163.44x = 5,267,172
  5. Step 5: Solve for x
    x = 5,267,172/3,163.44
  6. Step 6: Final answer
    x = 1,665.01

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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.