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Finding the Fourth Proportional to 3,231, 4,847.22 and 1,179

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Solution

The fourth proportional to 3,231, 4,847.22 and 1,179 is: 1,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231 : 4,847.22 = 1,179 : x
  2. Step 2: Convert to fraction form
    3,231/4,847.22 = 1,179/x
  3. Step 3: Cross multiply
    3,231x = 4,847.22 × 1,179
  4. Step 4: Simplify right side
    3,231x = 5,714,872.38
  5. Step 5: Solve for x
    x = 5,714,872.38/3,231
  6. Step 6: Final answer
    x = 1,768.76

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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.