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Finding the Fourth Proportional to 1,351.82, 2,027.81 and 486.14

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Solution

The fourth proportional to 1,351.82, 2,027.81 and 486.14 is: 729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.82 : 2,027.81 = 486.14 : x
  2. Step 2: Convert to fraction form
    1,351.82/2,027.81 = 486.14/x
  3. Step 3: Cross multiply
    1,351.82x = 2,027.81 × 486.14
  4. Step 4: Simplify right side
    1,351.82x = 985,790.63
  5. Step 5: Solve for x
    x = 985,790.63/1,351.82
  6. Step 6: Final answer
    x = 729.23

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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.