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Finding the Fourth Proportional to 4,661.06, 6,991.58 and 1,198.31

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Solution

The fourth proportional to 4,661.06, 6,991.58 and 1,198.31 is: 1,797.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.06 : 6,991.58 = 1,198.31 : x
  2. Step 2: Convert to fraction form
    4,661.06/6,991.58 = 1,198.31/x
  3. Step 3: Cross multiply
    4,661.06x = 6,991.58 × 1,198.31
  4. Step 4: Simplify right side
    4,661.06x = 8,378,080.23
  5. Step 5: Solve for x
    x = 8,378,080.23/4,661.06
  6. Step 6: Final answer
    x = 1,797.46

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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.