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Finding the Fourth Proportional to 3,282.44, 4,924.26 and 1,982.36

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Solution

The fourth proportional to 3,282.44, 4,924.26 and 1,982.36 is: 2,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.44 : 4,924.26 = 1,982.36 : x
  2. Step 2: Convert to fraction form
    3,282.44/4,924.26 = 1,982.36/x
  3. Step 3: Cross multiply
    3,282.44x = 4,924.26 × 1,982.36
  4. Step 4: Simplify right side
    3,282.44x = 9,761,656.05
  5. Step 5: Solve for x
    x = 9,761,656.05/3,282.44
  6. Step 6: Final answer
    x = 2,973.90

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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.