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Finding the Fourth Proportional to 2,270.62, 3,405.83 and 809.75

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Solution

The fourth proportional to 2,270.62, 3,405.83 and 809.75 is: 1,214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.62 : 3,405.83 = 809.75 : x
  2. Step 2: Convert to fraction form
    2,270.62/3,405.83 = 809.75/x
  3. Step 3: Cross multiply
    2,270.62x = 3,405.83 × 809.75
  4. Step 4: Simplify right side
    2,270.62x = 2,757,870.84
  5. Step 5: Solve for x
    x = 2,757,870.84/2,270.62
  6. Step 6: Final answer
    x = 1,214.59

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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.