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Finding the Fourth Proportional to 2,768.96, 3,819.32 and 2,179.28

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Solution

The fourth proportional to 2,768.96, 3,819.32 and 2,179.28 is: 3,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.96 : 3,819.32 = 2,179.28 : x
  2. Step 2: Convert to fraction form
    2,768.96/3,819.32 = 2,179.28/x
  3. Step 3: Cross multiply
    2,768.96x = 3,819.32 × 2,179.28
  4. Step 4: Simplify right side
    2,768.96x = 8,323,367.69
  5. Step 5: Solve for x
    x = 8,323,367.69/2,768.96
  6. Step 6: Final answer
    x = 3,005.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.