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Finding the Fourth Proportional to 2,165.36, 3,243.90 and 1,238.09

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Solution

The fourth proportional to 2,165.36, 3,243.90 and 1,238.09 is: 1,854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.36 : 3,243.90 = 1,238.09 : x
  2. Step 2: Convert to fraction form
    2,165.36/3,243.90 = 1,238.09/x
  3. Step 3: Cross multiply
    2,165.36x = 3,243.90 × 1,238.09
  4. Step 4: Simplify right side
    2,165.36x = 4,016,221.61
  5. Step 5: Solve for x
    x = 4,016,221.61/2,165.36
  6. Step 6: Final answer
    x = 1,854.76

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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.