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Finding the Fourth Proportional to 3,163.44, 4,745.16 and 855.12

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Solution

The fourth proportional to 3,163.44, 4,745.16 and 855.12 is: 1,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.44 : 4,745.16 = 855.12 : x
  2. Step 2: Convert to fraction form
    3,163.44/4,745.16 = 855.12/x
  3. Step 3: Cross multiply
    3,163.44x = 4,745.16 × 855.12
  4. Step 4: Simplify right side
    3,163.44x = 4,057,681.22
  5. Step 5: Solve for x
    x = 4,057,681.22/3,163.44
  6. Step 6: Final answer
    x = 1,282.68

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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.