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Finding the Fourth Proportional to 2,208.90, 3,309.19 and 2,080.22

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Solution

The fourth proportional to 2,208.90, 3,309.19 and 2,080.22 is: 3,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.90 : 3,309.19 = 2,080.22 : x
  2. Step 2: Convert to fraction form
    2,208.90/3,309.19 = 2,080.22/x
  3. Step 3: Cross multiply
    2,208.90x = 3,309.19 × 2,080.22
  4. Step 4: Simplify right side
    2,208.90x = 6,883,821.48
  5. Step 5: Solve for x
    x = 6,883,821.48/2,208.90
  6. Step 6: Final answer
    x = 3,116.40

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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.