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Finding the Fourth Proportional to 1,942.92, 2,677.64 and 1,383.44

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Solution

The fourth proportional to 1,942.92, 2,677.64 and 1,383.44 is: 1,906.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.92 : 2,677.64 = 1,383.44 : x
  2. Step 2: Convert to fraction form
    1,942.92/2,677.64 = 1,383.44/x
  3. Step 3: Cross multiply
    1,942.92x = 2,677.64 × 1,383.44
  4. Step 4: Simplify right side
    1,942.92x = 3,704,333.98
  5. Step 5: Solve for x
    x = 3,704,333.98/1,942.92
  6. Step 6: Final answer
    x = 1,906.58

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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.