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Finding the Fourth Proportional to 1,238.22, 1,859.24 and 1,081.96

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Solution

The fourth proportional to 1,238.22, 1,859.24 and 1,081.96 is: 1,624.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.22 : 1,859.24 = 1,081.96 : x
  2. Step 2: Convert to fraction form
    1,238.22/1,859.24 = 1,081.96/x
  3. Step 3: Cross multiply
    1,238.22x = 1,859.24 × 1,081.96
  4. Step 4: Simplify right side
    1,238.22x = 2,011,623.31
  5. Step 5: Solve for x
    x = 2,011,623.31/1,238.22
  6. Step 6: Final answer
    x = 1,624.61

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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.