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Finding the Fourth Proportional to 4,661.26, 6,991.96 and 1,198.50

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Solution

The fourth proportional to 4,661.26, 6,991.96 and 1,198.50 is: 1,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.26 : 6,991.96 = 1,198.50 : x
  2. Step 2: Convert to fraction form
    4,661.26/6,991.96 = 1,198.50/x
  3. Step 3: Cross multiply
    4,661.26x = 6,991.96 × 1,198.50
  4. Step 4: Simplify right side
    4,661.26x = 8,379,864.06
  5. Step 5: Solve for x
    x = 8,379,864.06/4,661.26
  6. Step 6: Final answer
    x = 1,797.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.