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Finding the Fourth Proportional to 2,571.94, 3,856.12 and 816.37

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Solution

The fourth proportional to 2,571.94, 3,856.12 and 816.37 is: 1,223.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.94 : 3,856.12 = 816.37 : x
  2. Step 2: Convert to fraction form
    2,571.94/3,856.12 = 816.37/x
  3. Step 3: Cross multiply
    2,571.94x = 3,856.12 × 816.37
  4. Step 4: Simplify right side
    2,571.94x = 3,148,020.68
  5. Step 5: Solve for x
    x = 3,148,020.68/2,571.94
  6. Step 6: Final answer
    x = 1,223.99

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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.