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Finding the Fourth Proportional to 2,189.83, 3,022.04 and 1,195.16

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Solution

The fourth proportional to 2,189.83, 3,022.04 and 1,195.16 is: 1,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.83 : 3,022.04 = 1,195.16 : x
  2. Step 2: Convert to fraction form
    2,189.83/3,022.04 = 1,195.16/x
  3. Step 3: Cross multiply
    2,189.83x = 3,022.04 × 1,195.16
  4. Step 4: Simplify right side
    2,189.83x = 3,611,827.39
  5. Step 5: Solve for x
    x = 3,611,827.39/2,189.83
  6. Step 6: Final answer
    x = 1,649.36

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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.