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Finding the Fourth Proportional to 2,192.84, 3,026.18 and 1,198.16

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Solution

The fourth proportional to 2,192.84, 3,026.18 and 1,198.16 is: 1,653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.84 : 3,026.18 = 1,198.16 : x
  2. Step 2: Convert to fraction form
    2,192.84/3,026.18 = 1,198.16/x
  3. Step 3: Cross multiply
    2,192.84x = 3,026.18 × 1,198.16
  4. Step 4: Simplify right side
    2,192.84x = 3,625,847.83
  5. Step 5: Solve for x
    x = 3,625,847.83/2,192.84
  6. Step 6: Final answer
    x = 1,653.49

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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.