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Finding the Fourth Proportional to 2,579.64, 3,866.09 and 1,192.79

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Solution

The fourth proportional to 2,579.64, 3,866.09 and 1,192.79 is: 1,787.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.64 : 3,866.09 = 1,192.79 : x
  2. Step 2: Convert to fraction form
    2,579.64/3,866.09 = 1,192.79/x
  3. Step 3: Cross multiply
    2,579.64x = 3,866.09 × 1,192.79
  4. Step 4: Simplify right side
    2,579.64x = 4,611,408.20
  5. Step 5: Solve for x
    x = 4,611,408.20/2,579.64
  6. Step 6: Final answer
    x = 1,787.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.