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Finding the Fourth Proportional to 2,770.44, 3,822.96 and 1,591.56

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Solution

The fourth proportional to 2,770.44, 3,822.96 and 1,591.56 is: 2,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.44 : 3,822.96 = 1,591.56 : x
  2. Step 2: Convert to fraction form
    2,770.44/3,822.96 = 1,591.56/x
  3. Step 3: Cross multiply
    2,770.44x = 3,822.96 × 1,591.56
  4. Step 4: Simplify right side
    2,770.44x = 6,084,470.22
  5. Step 5: Solve for x
    x = 6,084,470.22/2,770.44
  6. Step 6: Final answer
    x = 2,196.21

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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.