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Finding the Fourth Proportional to 2,206.54, 3,309.90 and 820.23

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Solution

The fourth proportional to 2,206.54, 3,309.90 and 820.23 is: 1,230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.54 : 3,309.90 = 820.23 : x
  2. Step 2: Convert to fraction form
    2,206.54/3,309.90 = 820.23/x
  3. Step 3: Cross multiply
    2,206.54x = 3,309.90 × 820.23
  4. Step 4: Simplify right side
    2,206.54x = 2,714,858.63
  5. Step 5: Solve for x
    x = 2,714,858.63/2,206.54
  6. Step 6: Final answer
    x = 1,230.37

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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.