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Finding the Fourth Proportional to 1,922.36, 2,647.68 and 1,659.92

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Solution

The fourth proportional to 1,922.36, 2,647.68 and 1,659.92 is: 2,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.36 : 2,647.68 = 1,659.92 : x
  2. Step 2: Convert to fraction form
    1,922.36/2,647.68 = 1,659.92/x
  3. Step 3: Cross multiply
    1,922.36x = 2,647.68 × 1,659.92
  4. Step 4: Simplify right side
    1,922.36x = 4,394,936.99
  5. Step 5: Solve for x
    x = 4,394,936.99/1,922.36
  6. Step 6: Final answer
    x = 2,286.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.