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Finding the Fourth Proportional to 2,760.60, 4,140.75 and 680.50

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Solution

The fourth proportional to 2,760.60, 4,140.75 and 680.50 is: 1,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.60 : 4,140.75 = 680.50 : x
  2. Step 2: Convert to fraction form
    2,760.60/4,140.75 = 680.50/x
  3. Step 3: Cross multiply
    2,760.60x = 4,140.75 × 680.50
  4. Step 4: Simplify right side
    2,760.60x = 2,817,759.67
  5. Step 5: Solve for x
    x = 2,817,759.67/2,760.60
  6. Step 6: Final answer
    x = 1,020.71

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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.