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Finding the Fourth Proportional to 3,361, 4,638.20 and 1,963.48

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Solution

The fourth proportional to 3,361, 4,638.20 and 1,963.48 is: 2,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361 : 4,638.20 = 1,963.48 : x
  2. Step 2: Convert to fraction form
    3,361/4,638.20 = 1,963.48/x
  3. Step 3: Cross multiply
    3,361x = 4,638.20 × 1,963.48
  4. Step 4: Simplify right side
    3,361x = 9,107,012.94
  5. Step 5: Solve for x
    x = 9,107,012.94/3,361
  6. Step 6: Final answer
    x = 2,709.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.