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Finding the Fourth Proportional to 2,189.82, 3,286.18 and 957.28

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Solution

The fourth proportional to 2,189.82, 3,286.18 and 957.28 is: 1,436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.82 : 3,286.18 = 957.28 : x
  2. Step 2: Convert to fraction form
    2,189.82/3,286.18 = 957.28/x
  3. Step 3: Cross multiply
    2,189.82x = 3,286.18 × 957.28
  4. Step 4: Simplify right side
    2,189.82x = 3,145,794.39
  5. Step 5: Solve for x
    x = 3,145,794.39/2,189.82
  6. Step 6: Final answer
    x = 1,436.55

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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.