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Finding the Fourth Proportional to 2,189.80, 3,021.93 and 1,195.08

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Solution

The fourth proportional to 2,189.80, 3,021.93 and 1,195.08 is: 1,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.80 : 3,021.93 = 1,195.08 : x
  2. Step 2: Convert to fraction form
    2,189.80/3,021.93 = 1,195.08/x
  3. Step 3: Cross multiply
    2,189.80x = 3,021.93 × 1,195.08
  4. Step 4: Simplify right side
    2,189.80x = 3,611,448.10
  5. Step 5: Solve for x
    x = 3,611,448.10/2,189.80
  6. Step 6: Final answer
    x = 1,649.22

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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.