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Finding the Fourth Proportional to 3,163.26, 4,745.64 and 1,314.84

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Solution

The fourth proportional to 3,163.26, 4,745.64 and 1,314.84 is: 1,972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.26 : 4,745.64 = 1,314.84 : x
  2. Step 2: Convert to fraction form
    3,163.26/4,745.64 = 1,314.84/x
  3. Step 3: Cross multiply
    3,163.26x = 4,745.64 × 1,314.84
  4. Step 4: Simplify right side
    3,163.26x = 6,239,757.30
  5. Step 5: Solve for x
    x = 6,239,757.30/3,163.26
  6. Step 6: Final answer
    x = 1,972.57

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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.