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Finding the Fourth Proportional to 2,770.22, 3,823.28 and 1,591.06

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Solution

The fourth proportional to 2,770.22, 3,823.28 and 1,591.06 is: 2,195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.22 : 3,823.28 = 1,591.06 : x
  2. Step 2: Convert to fraction form
    2,770.22/3,823.28 = 1,591.06/x
  3. Step 3: Cross multiply
    2,770.22x = 3,823.28 × 1,591.06
  4. Step 4: Simplify right side
    2,770.22x = 6,083,067.88
  5. Step 5: Solve for x
    x = 6,083,067.88/2,770.22
  6. Step 6: Final answer
    x = 2,195.88

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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.