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Finding the Fourth Proportional to 3,286.09, 4,532.90 and 1,942.09

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Solution

The fourth proportional to 3,286.09, 4,532.90 and 1,942.09 is: 2,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.09 : 4,532.90 = 1,942.09 : x
  2. Step 2: Convert to fraction form
    3,286.09/4,532.90 = 1,942.09/x
  3. Step 3: Cross multiply
    3,286.09x = 4,532.90 × 1,942.09
  4. Step 4: Simplify right side
    3,286.09x = 8,803,293.28
  5. Step 5: Solve for x
    x = 8,803,293.28/3,286.09
  6. Step 6: Final answer
    x = 2,678.96

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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.