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Finding the Fourth Proportional to 3,287.22, 4,924.35 and 1,991.22

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Solution

The fourth proportional to 3,287.22, 4,924.35 and 1,991.22 is: 2,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.22 : 4,924.35 = 1,991.22 : x
  2. Step 2: Convert to fraction form
    3,287.22/4,924.35 = 1,991.22/x
  3. Step 3: Cross multiply
    3,287.22x = 4,924.35 × 1,991.22
  4. Step 4: Simplify right side
    3,287.22x = 9,805,464.21
  5. Step 5: Solve for x
    x = 9,805,464.21/3,287.22
  6. Step 6: Final answer
    x = 2,982.90

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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.