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Finding the Fourth Proportional to 2,189.86, 3,022.09 and 1,195.20

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Solution

The fourth proportional to 2,189.86, 3,022.09 and 1,195.20 is: 1,649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.86 : 3,022.09 = 1,195.20 : x
  2. Step 2: Convert to fraction form
    2,189.86/3,022.09 = 1,195.20/x
  3. Step 3: Cross multiply
    2,189.86x = 3,022.09 × 1,195.20
  4. Step 4: Simplify right side
    2,189.86x = 3,611,998.98
  5. Step 5: Solve for x
    x = 3,611,998.98/2,189.86
  6. Step 6: Final answer
    x = 1,649.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.