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Finding the Fourth Proportional to 4,661.62, 6,992.42 and 1,198.88

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Solution

The fourth proportional to 4,661.62, 6,992.42 and 1,198.88 is: 1,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.62 : 6,992.42 = 1,198.88 : x
  2. Step 2: Convert to fraction form
    4,661.62/6,992.42 = 1,198.88/x
  3. Step 3: Cross multiply
    4,661.62x = 6,992.42 × 1,198.88
  4. Step 4: Simplify right side
    4,661.62x = 8,383,072.49
  5. Step 5: Solve for x
    x = 8,383,072.49/4,661.62
  6. Step 6: Final answer
    x = 1,798.32

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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.