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Finding the Fourth Proportional to 3,174.44, 4,760.14 and 1,821.90

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Solution

The fourth proportional to 3,174.44, 4,760.14 and 1,821.90 is: 2,731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.44 : 4,760.14 = 1,821.90 : x
  2. Step 2: Convert to fraction form
    3,174.44/4,760.14 = 1,821.90/x
  3. Step 3: Cross multiply
    3,174.44x = 4,760.14 × 1,821.90
  4. Step 4: Simplify right side
    3,174.44x = 8,672,489.96
  5. Step 5: Solve for x
    x = 8,672,489.96/3,174.44
  6. Step 6: Final answer
    x = 2,731.97

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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.