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Finding the Fourth Proportional to 2,162.07, 3,243.09 and 845.96

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Solution

The fourth proportional to 2,162.07, 3,243.09 and 845.96 is: 1,268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.07 : 3,243.09 = 845.96 : x
  2. Step 2: Convert to fraction form
    2,162.07/3,243.09 = 845.96/x
  3. Step 3: Cross multiply
    2,162.07x = 3,243.09 × 845.96
  4. Step 4: Simplify right side
    2,162.07x = 2,743,508.20
  5. Step 5: Solve for x
    x = 2,743,508.20/2,162.07
  6. Step 6: Final answer
    x = 1,268.93

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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.