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Finding the Fourth Proportional to 3,286.74, 4,536.96 and 2,028

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Solution

The fourth proportional to 3,286.74, 4,536.96 and 2,028 is: 2,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.74 : 4,536.96 = 2,028 : x
  2. Step 2: Convert to fraction form
    3,286.74/4,536.96 = 2,028/x
  3. Step 3: Cross multiply
    3,286.74x = 4,536.96 × 2,028
  4. Step 4: Simplify right side
    3,286.74x = 9,200,954.88
  5. Step 5: Solve for x
    x = 9,200,954.88/3,286.74
  6. Step 6: Final answer
    x = 2,799.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.