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Finding the Fourth Proportional to 3,452.31, 4,763.12 and 1,960.11

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Solution

The fourth proportional to 3,452.31, 4,763.12 and 1,960.11 is: 2,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.31 : 4,763.12 = 1,960.11 : x
  2. Step 2: Convert to fraction form
    3,452.31/4,763.12 = 1,960.11/x
  3. Step 3: Cross multiply
    3,452.31x = 4,763.12 × 1,960.11
  4. Step 4: Simplify right side
    3,452.31x = 9,336,229.34
  5. Step 5: Solve for x
    x = 9,336,229.34/3,452.31
  6. Step 6: Final answer
    x = 2,704.34

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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.