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Finding the Fourth Proportional to 1,232.96, 1,842.22 and 1,189.90

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Solution

The fourth proportional to 1,232.96, 1,842.22 and 1,189.90 is: 1,777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.96 : 1,842.22 = 1,189.90 : x
  2. Step 2: Convert to fraction form
    1,232.96/1,842.22 = 1,189.90/x
  3. Step 3: Cross multiply
    1,232.96x = 1,842.22 × 1,189.90
  4. Step 4: Simplify right side
    1,232.96x = 2,192,057.58
  5. Step 5: Solve for x
    x = 2,192,057.58/1,232.96
  6. Step 6: Final answer
    x = 1,777.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.