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Finding the Fourth Proportional to 2,760.10, 4,140 and 680.00

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Solution

The fourth proportional to 2,760.10, 4,140 and 680.00 is: 1,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.10 : 4,140 = 680.00 : x
  2. Step 2: Convert to fraction form
    2,760.10/4,140 = 680.00/x
  3. Step 3: Cross multiply
    2,760.10x = 4,140 × 680.00
  4. Step 4: Simplify right side
    2,760.10x = 2,815,179.30
  5. Step 5: Solve for x
    x = 2,815,179.30/2,760.10
  6. Step 6: Final answer
    x = 1,019.96

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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.