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Finding the Fourth Proportional to 3,163.67, 4,745.52 and 1,314.79

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Solution

The fourth proportional to 3,163.67, 4,745.52 and 1,314.79 is: 1,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.67 : 4,745.52 = 1,314.79 : x
  2. Step 2: Convert to fraction form
    3,163.67/4,745.52 = 1,314.79/x
  3. Step 3: Cross multiply
    3,163.67x = 4,745.52 × 1,314.79
  4. Step 4: Simplify right side
    3,163.67x = 6,239,362.24
  5. Step 5: Solve for x
    x = 6,239,362.24/3,163.67
  6. Step 6: Final answer
    x = 1,972.19

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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.