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Finding the Fourth Proportional to 3,163.70, 4,745.62 and 1,083.69

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Solution

The fourth proportional to 3,163.70, 4,745.62 and 1,083.69 is: 1,625.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.70 : 4,745.62 = 1,083.69 : x
  2. Step 2: Convert to fraction form
    3,163.70/4,745.62 = 1,083.69/x
  3. Step 3: Cross multiply
    3,163.70x = 4,745.62 × 1,083.69
  4. Step 4: Simplify right side
    3,163.70x = 5,142,756.65
  5. Step 5: Solve for x
    x = 5,142,756.65/3,163.70
  6. Step 6: Final answer
    x = 1,625.55

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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.