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Finding the Fourth Proportional to 3,198.70, 4,791.77 and 2,850.40

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Solution

The fourth proportional to 3,198.70, 4,791.77 and 2,850.40 is: 4,270.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.70 : 4,791.77 = 2,850.40 : x
  2. Step 2: Convert to fraction form
    3,198.70/4,791.77 = 2,850.40/x
  3. Step 3: Cross multiply
    3,198.70x = 4,791.77 × 2,850.40
  4. Step 4: Simplify right side
    3,198.70x = 13,658,461.21
  5. Step 5: Solve for x
    x = 13,658,461.21/3,198.70
  6. Step 6: Final answer
    x = 4,270.00

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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.