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Finding the Fourth Proportional to 2,270.75, 3,404.39 and 1,174.41

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Solution

The fourth proportional to 2,270.75, 3,404.39 and 1,174.41 is: 1,760.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.75 : 3,404.39 = 1,174.41 : x
  2. Step 2: Convert to fraction form
    2,270.75/3,404.39 = 1,174.41/x
  3. Step 3: Cross multiply
    2,270.75x = 3,404.39 × 1,174.41
  4. Step 4: Simplify right side
    2,270.75x = 3,998,149.66
  5. Step 5: Solve for x
    x = 3,998,149.66/2,270.75
  6. Step 6: Final answer
    x = 1,760.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.