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Finding the Fourth Proportional to 2,192.85, 3,026.11 and 1,198.18

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Solution

The fourth proportional to 2,192.85, 3,026.11 and 1,198.18 is: 1,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.85 : 3,026.11 = 1,198.18 : x
  2. Step 2: Convert to fraction form
    2,192.85/3,026.11 = 1,198.18/x
  3. Step 3: Cross multiply
    2,192.85x = 3,026.11 × 1,198.18
  4. Step 4: Simplify right side
    2,192.85x = 3,625,824.48
  5. Step 5: Solve for x
    x = 3,625,824.48/2,192.85
  6. Step 6: Final answer
    x = 1,653.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.