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Finding the Fourth Proportional to 4,660.88, 6,991.38 and 1,198.13

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Solution

The fourth proportional to 4,660.88, 6,991.38 and 1,198.13 is: 1,797.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.88 : 6,991.38 = 1,198.13 : x
  2. Step 2: Convert to fraction form
    4,660.88/6,991.38 = 1,198.13/x
  3. Step 3: Cross multiply
    4,660.88x = 6,991.38 × 1,198.13
  4. Step 4: Simplify right side
    4,660.88x = 8,376,547.16
  5. Step 5: Solve for x
    x = 8,376,547.16/4,660.88
  6. Step 6: Final answer
    x = 1,797.20

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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.