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Finding the Fourth Proportional to 2,791.21, 4,186.81 and 843.41

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Solution

The fourth proportional to 2,791.21, 4,186.81 and 843.41 is: 1,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.21 : 4,186.81 = 843.41 : x
  2. Step 2: Convert to fraction form
    2,791.21/4,186.81 = 843.41/x
  3. Step 3: Cross multiply
    2,791.21x = 4,186.81 × 843.41
  4. Step 4: Simplify right side
    2,791.21x = 3,531,172.27
  5. Step 5: Solve for x
    x = 3,531,172.27/2,791.21
  6. Step 6: Final answer
    x = 1,265.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.