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Finding the Fourth Proportional to 2,141.12, 3,211.84 and 680.96

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Solution

The fourth proportional to 2,141.12, 3,211.84 and 680.96 is: 1,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.12 : 3,211.84 = 680.96 : x
  2. Step 2: Convert to fraction form
    2,141.12/3,211.84 = 680.96/x
  3. Step 3: Cross multiply
    2,141.12x = 3,211.84 × 680.96
  4. Step 4: Simplify right side
    2,141.12x = 2,187,134.57
  5. Step 5: Solve for x
    x = 2,187,134.57/2,141.12
  6. Step 6: Final answer
    x = 1,021.49

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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.