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Finding the Fourth Proportional to 2,162.22, 3,244.76 and 1,189

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Solution

The fourth proportional to 2,162.22, 3,244.76 and 1,189 is: 1,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.22 : 3,244.76 = 1,189 : x
  2. Step 2: Convert to fraction form
    2,162.22/3,244.76 = 1,189/x
  3. Step 3: Cross multiply
    2,162.22x = 3,244.76 × 1,189
  4. Step 4: Simplify right side
    2,162.22x = 3,858,019.64
  5. Step 5: Solve for x
    x = 3,858,019.64/2,162.22
  6. Step 6: Final answer
    x = 1,784.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.