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Finding the Fourth Proportional to 2,122.65, 3,186.57 and 1,198.86

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Solution

The fourth proportional to 2,122.65, 3,186.57 and 1,198.86 is: 1,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.65 : 3,186.57 = 1,198.86 : x
  2. Step 2: Convert to fraction form
    2,122.65/3,186.57 = 1,198.86/x
  3. Step 3: Cross multiply
    2,122.65x = 3,186.57 × 1,198.86
  4. Step 4: Simplify right side
    2,122.65x = 3,820,239.15
  5. Step 5: Solve for x
    x = 3,820,239.15/2,122.65
  6. Step 6: Final answer
    x = 1,799.75

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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.