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Finding the Fourth Proportional to 2,529.37, 3,793.56 and 680.50

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Solution

The fourth proportional to 2,529.37, 3,793.56 and 680.50 is: 1,020.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.37 : 3,793.56 = 680.50 : x
  2. Step 2: Convert to fraction form
    2,529.37/3,793.56 = 680.50/x
  3. Step 3: Cross multiply
    2,529.37x = 3,793.56 × 680.50
  4. Step 4: Simplify right side
    2,529.37x = 2,581,517.58
  5. Step 5: Solve for x
    x = 2,581,517.58/2,529.37
  6. Step 6: Final answer
    x = 1,020.62

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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.