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Finding the Fourth Proportional to 2,189.73, 3,021.84 and 1,195.03

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Solution

The fourth proportional to 2,189.73, 3,021.84 and 1,195.03 is: 1,649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.73 : 3,021.84 = 1,195.03 : x
  2. Step 2: Convert to fraction form
    2,189.73/3,021.84 = 1,195.03/x
  3. Step 3: Cross multiply
    2,189.73x = 3,021.84 × 1,195.03
  4. Step 4: Simplify right side
    2,189.73x = 3,611,189.87
  5. Step 5: Solve for x
    x = 3,611,189.87/2,189.73
  6. Step 6: Final answer
    x = 1,649.15

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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.