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Finding the Fourth Proportional to 2,206.73, 3,309.98 and 563.22

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Solution

The fourth proportional to 2,206.73, 3,309.98 and 563.22 is: 844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.73 : 3,309.98 = 563.22 : x
  2. Step 2: Convert to fraction form
    2,206.73/3,309.98 = 563.22/x
  3. Step 3: Cross multiply
    2,206.73x = 3,309.98 × 563.22
  4. Step 4: Simplify right side
    2,206.73x = 1,864,247.29
  5. Step 5: Solve for x
    x = 1,864,247.29/2,206.73
  6. Step 6: Final answer
    x = 844.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.