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Finding the Fourth Proportional to 2,770.37, 3,821.27 and 2,012.88

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Solution

The fourth proportional to 2,770.37, 3,821.27 and 2,012.88 is: 2,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.37 : 3,821.27 = 2,012.88 : x
  2. Step 2: Convert to fraction form
    2,770.37/3,821.27 = 2,012.88/x
  3. Step 3: Cross multiply
    2,770.37x = 3,821.27 × 2,012.88
  4. Step 4: Simplify right side
    2,770.37x = 7,691,747.89
  5. Step 5: Solve for x
    x = 7,691,747.89/2,770.37
  6. Step 6: Final answer
    x = 2,776.44

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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.