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Finding the Fourth Proportional to 2,928.22, 4,393.14 and 1,198.06

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Solution

The fourth proportional to 2,928.22, 4,393.14 and 1,198.06 is: 1,797.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.22 : 4,393.14 = 1,198.06 : x
  2. Step 2: Convert to fraction form
    2,928.22/4,393.14 = 1,198.06/x
  3. Step 3: Cross multiply
    2,928.22x = 4,393.14 × 1,198.06
  4. Step 4: Simplify right side
    2,928.22x = 5,263,245.31
  5. Step 5: Solve for x
    x = 5,263,245.31/2,928.22
  6. Step 6: Final answer
    x = 1,797.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.