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Finding the Fourth Proportional to 2,603.94, 3,906.24 and 1,198.02

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Solution

The fourth proportional to 2,603.94, 3,906.24 and 1,198.02 is: 1,797.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.94 : 3,906.24 = 1,198.02 : x
  2. Step 2: Convert to fraction form
    2,603.94/3,906.24 = 1,198.02/x
  3. Step 3: Cross multiply
    2,603.94x = 3,906.24 × 1,198.02
  4. Step 4: Simplify right side
    2,603.94x = 4,679,753.64
  5. Step 5: Solve for x
    x = 4,679,753.64/2,603.94
  6. Step 6: Final answer
    x = 1,797.18

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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.