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Finding the Fourth Proportional to 1,381.30, 1,906.23 and 791.86

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Solution

The fourth proportional to 1,381.30, 1,906.23 and 791.86 is: 1,092.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.30 : 1,906.23 = 791.86 : x
  2. Step 2: Convert to fraction form
    1,381.30/1,906.23 = 791.86/x
  3. Step 3: Cross multiply
    1,381.30x = 1,906.23 × 791.86
  4. Step 4: Simplify right side
    1,381.30x = 1,509,467.29
  5. Step 5: Solve for x
    x = 1,509,467.29/1,381.30
  6. Step 6: Final answer
    x = 1,092.79

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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.