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Finding the Fourth Proportional to 2,270.41, 3,404.94 and 809.23

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Solution

The fourth proportional to 2,270.41, 3,404.94 and 809.23 is: 1,213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.41 : 3,404.94 = 809.23 : x
  2. Step 2: Convert to fraction form
    2,270.41/3,404.94 = 809.23/x
  3. Step 3: Cross multiply
    2,270.41x = 3,404.94 × 809.23
  4. Step 4: Simplify right side
    2,270.41x = 2,755,379.60
  5. Step 5: Solve for x
    x = 2,755,379.60/2,270.41
  6. Step 6: Final answer
    x = 1,213.60

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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.