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Finding the Fourth Proportional to 2,733.49, 3,783.05 and 2,667.97

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Solution

The fourth proportional to 2,733.49, 3,783.05 and 2,667.97 is: 3,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.49 : 3,783.05 = 2,667.97 : x
  2. Step 2: Convert to fraction form
    2,733.49/3,783.05 = 2,667.97/x
  3. Step 3: Cross multiply
    2,733.49x = 3,783.05 × 2,667.97
  4. Step 4: Simplify right side
    2,733.49x = 10,093,063.91
  5. Step 5: Solve for x
    x = 10,093,063.91/2,733.49
  6. Step 6: Final answer
    x = 3,692.37

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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.