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Finding the Fourth Proportional to 1,381.49, 1,906.07 and 791.99

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Solution

The fourth proportional to 1,381.49, 1,906.07 and 791.99 is: 1,092.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.49 : 1,906.07 = 791.99 : x
  2. Step 2: Convert to fraction form
    1,381.49/1,906.07 = 791.99/x
  3. Step 3: Cross multiply
    1,381.49x = 1,906.07 × 791.99
  4. Step 4: Simplify right side
    1,381.49x = 1,509,574.89
  5. Step 5: Solve for x
    x = 1,509,574.89/1,381.49
  6. Step 6: Final answer
    x = 1,092.72

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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.