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Finding the Fourth Proportional to 2,787.94, 3,846.77 and 1,892.37

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Solution

The fourth proportional to 2,787.94, 3,846.77 and 1,892.37 is: 2,611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.94 : 3,846.77 = 1,892.37 : x
  2. Step 2: Convert to fraction form
    2,787.94/3,846.77 = 1,892.37/x
  3. Step 3: Cross multiply
    2,787.94x = 3,846.77 × 1,892.37
  4. Step 4: Simplify right side
    2,787.94x = 7,279,512.14
  5. Step 5: Solve for x
    x = 7,279,512.14/2,787.94
  6. Step 6: Final answer
    x = 2,611.07

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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.