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Finding the Fourth Proportional to 2,189.85, 3,022.09 and 1,195.19

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Solution

The fourth proportional to 2,189.85, 3,022.09 and 1,195.19 is: 1,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.85 : 3,022.09 = 1,195.19 : x
  2. Step 2: Convert to fraction form
    2,189.85/3,022.09 = 1,195.19/x
  3. Step 3: Cross multiply
    2,189.85x = 3,022.09 × 1,195.19
  4. Step 4: Simplify right side
    2,189.85x = 3,611,965.77
  5. Step 5: Solve for x
    x = 3,611,965.77/2,189.85
  6. Step 6: Final answer
    x = 1,649.41

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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.