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Finding the Fourth Proportional to 2,610.35, 3,910.95 and 2,174.39

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Solution

The fourth proportional to 2,610.35, 3,910.95 and 2,174.39 is: 3,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.35 : 3,910.95 = 2,174.39 : x
  2. Step 2: Convert to fraction form
    2,610.35/3,910.95 = 2,174.39/x
  3. Step 3: Cross multiply
    2,610.35x = 3,910.95 × 2,174.39
  4. Step 4: Simplify right side
    2,610.35x = 8,503,930.57
  5. Step 5: Solve for x
    x = 8,503,930.57/2,610.35
  6. Step 6: Final answer
    x = 3,257.78

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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.