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Finding the Fourth Proportional to 3,096, 4,632.90 and 2,680.96

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Solution

The fourth proportional to 3,096, 4,632.90 and 2,680.96 is: 4,011.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096 : 4,632.90 = 2,680.96 : x
  2. Step 2: Convert to fraction form
    3,096/4,632.90 = 2,680.96/x
  3. Step 3: Cross multiply
    3,096x = 4,632.90 × 2,680.96
  4. Step 4: Simplify right side
    3,096x = 12,420,619.58
  5. Step 5: Solve for x
    x = 12,420,619.58/3,096
  6. Step 6: Final answer
    x = 4,011.83

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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.