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Finding the Fourth Proportional to 2,770.14, 3,819.12 and 2,296.26

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Solution

The fourth proportional to 2,770.14, 3,819.12 and 2,296.26 is: 3,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.14 : 3,819.12 = 2,296.26 : x
  2. Step 2: Convert to fraction form
    2,770.14/3,819.12 = 2,296.26/x
  3. Step 3: Cross multiply
    2,770.14x = 3,819.12 × 2,296.26
  4. Step 4: Simplify right side
    2,770.14x = 8,769,692.49
  5. Step 5: Solve for x
    x = 8,769,692.49/2,770.14
  6. Step 6: Final answer
    x = 3,165.79

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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.