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Finding the Fourth Proportional to 2,190.30, 3,286.04 and 957.82

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Solution

The fourth proportional to 2,190.30, 3,286.04 and 957.82 is: 1,436.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.30 : 3,286.04 = 957.82 : x
  2. Step 2: Convert to fraction form
    2,190.30/3,286.04 = 957.82/x
  3. Step 3: Cross multiply
    2,190.30x = 3,286.04 × 957.82
  4. Step 4: Simplify right side
    2,190.30x = 3,147,434.83
  5. Step 5: Solve for x
    x = 3,147,434.83/2,190.30
  6. Step 6: Final answer
    x = 1,436.99

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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.