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Finding the Fourth Proportional to 2,760.54, 4,140.68 and 680.44

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Solution

The fourth proportional to 2,760.54, 4,140.68 and 680.44 is: 1,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.54 : 4,140.68 = 680.44 : x
  2. Step 2: Convert to fraction form
    2,760.54/4,140.68 = 680.44/x
  3. Step 3: Cross multiply
    2,760.54x = 4,140.68 × 680.44
  4. Step 4: Simplify right side
    2,760.54x = 2,817,486.00
  5. Step 5: Solve for x
    x = 2,817,486.00/2,760.54
  6. Step 6: Final answer
    x = 1,020.63

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1.5x scale

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.