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Finding the Fourth Proportional to 2,746.80, 4,120.22 and 2,198.28

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Solution

The fourth proportional to 2,746.80, 4,120.22 and 2,198.28 is: 3,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.80 : 4,120.22 = 2,198.28 : x
  2. Step 2: Convert to fraction form
    2,746.80/4,120.22 = 2,198.28/x
  3. Step 3: Cross multiply
    2,746.80x = 4,120.22 × 2,198.28
  4. Step 4: Simplify right side
    2,746.80x = 9,057,397.22
  5. Step 5: Solve for x
    x = 9,057,397.22/2,746.80
  6. Step 6: Final answer
    x = 3,297.44

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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.