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Finding the Fourth Proportional to 3,163.93, 4,745.88 and 855.43

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Solution

The fourth proportional to 3,163.93, 4,745.88 and 855.43 is: 1,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.93 : 4,745.88 = 855.43 : x
  2. Step 2: Convert to fraction form
    3,163.93/4,745.88 = 855.43/x
  3. Step 3: Cross multiply
    3,163.93x = 4,745.88 × 855.43
  4. Step 4: Simplify right side
    3,163.93x = 4,059,756.26
  5. Step 5: Solve for x
    x = 4,059,756.26/3,163.93
  6. Step 6: Final answer
    x = 1,283.14

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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.