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Finding the Fourth Proportional to 2,612.07, 3,910.82 and 2,174.67

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Solution

The fourth proportional to 2,612.07, 3,910.82 and 2,174.67 is: 3,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.07 : 3,910.82 = 2,174.67 : x
  2. Step 2: Convert to fraction form
    2,612.07/3,910.82 = 2,174.67/x
  3. Step 3: Cross multiply
    2,612.07x = 3,910.82 × 2,174.67
  4. Step 4: Simplify right side
    2,612.07x = 8,504,732.06
  5. Step 5: Solve for x
    x = 8,504,732.06/2,612.07
  6. Step 6: Final answer
    x = 3,255.94

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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.