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Finding the Fourth Proportional to 2,769.54, 3,817.92 and 2,179.05

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Solution

The fourth proportional to 2,769.54, 3,817.92 and 2,179.05 is: 3,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.54 : 3,817.92 = 2,179.05 : x
  2. Step 2: Convert to fraction form
    2,769.54/3,817.92 = 2,179.05/x
  3. Step 3: Cross multiply
    2,769.54x = 3,817.92 × 2,179.05
  4. Step 4: Simplify right side
    2,769.54x = 8,319,438.58
  5. Step 5: Solve for x
    x = 8,319,438.58/2,769.54
  6. Step 6: Final answer
    x = 3,003.91

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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.