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Finding the Fourth Proportional to 3,282.62, 4,924.42 and 1,202.15

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Solution

The fourth proportional to 3,282.62, 4,924.42 and 1,202.15 is: 1,803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.62 : 4,924.42 = 1,202.15 : x
  2. Step 2: Convert to fraction form
    3,282.62/4,924.42 = 1,202.15/x
  3. Step 3: Cross multiply
    3,282.62x = 4,924.42 × 1,202.15
  4. Step 4: Simplify right side
    3,282.62x = 5,919,863.88
  5. Step 5: Solve for x
    x = 5,919,863.88/3,282.62
  6. Step 6: Final answer
    x = 1,803.39

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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.