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Finding the Fourth Proportional to 2,105.96, 2,906.36 and 1,396.56

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Solution

The fourth proportional to 2,105.96, 2,906.36 and 1,396.56 is: 1,927.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.96 : 2,906.36 = 1,396.56 : x
  2. Step 2: Convert to fraction form
    2,105.96/2,906.36 = 1,396.56/x
  3. Step 3: Cross multiply
    2,105.96x = 2,906.36 × 1,396.56
  4. Step 4: Simplify right side
    2,105.96x = 4,058,906.12
  5. Step 5: Solve for x
    x = 4,058,906.12/2,105.96
  6. Step 6: Final answer
    x = 1,927.34

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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.