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Finding the Fourth Proportional to 2,270.25, 3,405.42 and 809.37

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Solution

The fourth proportional to 2,270.25, 3,405.42 and 809.37 is: 1,214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.25 : 3,405.42 = 809.37 : x
  2. Step 2: Convert to fraction form
    2,270.25/3,405.42 = 809.37/x
  3. Step 3: Cross multiply
    2,270.25x = 3,405.42 × 809.37
  4. Step 4: Simplify right side
    2,270.25x = 2,756,244.79
  5. Step 5: Solve for x
    x = 2,756,244.79/2,270.25
  6. Step 6: Final answer
    x = 1,214.07

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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.