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Finding the Fourth Proportional to 3,286.82, 4,930.26 and 821.63

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Solution

The fourth proportional to 3,286.82, 4,930.26 and 821.63 is: 1,232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.82 : 4,930.26 = 821.63 : x
  2. Step 2: Convert to fraction form
    3,286.82/4,930.26 = 821.63/x
  3. Step 3: Cross multiply
    3,286.82x = 4,930.26 × 821.63
  4. Step 4: Simplify right side
    3,286.82x = 4,050,824.87
  5. Step 5: Solve for x
    x = 4,050,824.87/3,286.82
  6. Step 6: Final answer
    x = 1,232.45

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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.