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Finding the Fourth Proportional to 2,192.92, 3,026.12 and 1,198.01

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Solution

The fourth proportional to 2,192.92, 3,026.12 and 1,198.01 is: 1,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.92 : 3,026.12 = 1,198.01 : x
  2. Step 2: Convert to fraction form
    2,192.92/3,026.12 = 1,198.01/x
  3. Step 3: Cross multiply
    2,192.92x = 3,026.12 × 1,198.01
  4. Step 4: Simplify right side
    2,192.92x = 3,625,300.90
  5. Step 5: Solve for x
    x = 3,625,300.90/2,192.92
  6. Step 6: Final answer
    x = 1,653.19

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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.