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Finding the Fourth Proportional to 2,270.20, 3,404.12 and 809.14

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Solution

The fourth proportional to 2,270.20, 3,404.12 and 809.14 is: 1,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.20 : 3,404.12 = 809.14 : x
  2. Step 2: Convert to fraction form
    2,270.20/3,404.12 = 809.14/x
  3. Step 3: Cross multiply
    2,270.20x = 3,404.12 × 809.14
  4. Step 4: Simplify right side
    2,270.20x = 2,754,409.66
  5. Step 5: Solve for x
    x = 2,754,409.66/2,270.20
  6. Step 6: Final answer
    x = 1,213.29

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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.