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Finding the Fourth Proportional to 1,687.86, 2,331.32 and 1,192.73

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Solution

The fourth proportional to 1,687.86, 2,331.32 and 1,192.73 is: 1,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.86 : 2,331.32 = 1,192.73 : x
  2. Step 2: Convert to fraction form
    1,687.86/2,331.32 = 1,192.73/x
  3. Step 3: Cross multiply
    1,687.86x = 2,331.32 × 1,192.73
  4. Step 4: Simplify right side
    1,687.86x = 2,780,617.68
  5. Step 5: Solve for x
    x = 2,780,617.68/1,687.86
  6. Step 6: Final answer
    x = 1,647.42

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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.