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Finding the Fourth Proportional to 3,282.96, 4,922.62 and 1,090.49

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Solution

The fourth proportional to 3,282.96, 4,922.62 and 1,090.49 is: 1,635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.96 : 4,922.62 = 1,090.49 : x
  2. Step 2: Convert to fraction form
    3,282.96/4,922.62 = 1,090.49/x
  3. Step 3: Cross multiply
    3,282.96x = 4,922.62 × 1,090.49
  4. Step 4: Simplify right side
    3,282.96x = 5,368,067.88
  5. Step 5: Solve for x
    x = 5,368,067.88/3,282.96
  6. Step 6: Final answer
    x = 1,635.13

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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.