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Finding the Fourth Proportional to 2,571.29, 3,856.13 and 1,633.58

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Solution

The fourth proportional to 2,571.29, 3,856.13 and 1,633.58 is: 2,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.29 : 3,856.13 = 1,633.58 : x
  2. Step 2: Convert to fraction form
    2,571.29/3,856.13 = 1,633.58/x
  3. Step 3: Cross multiply
    2,571.29x = 3,856.13 × 1,633.58
  4. Step 4: Simplify right side
    2,571.29x = 6,299,288.68
  5. Step 5: Solve for x
    x = 6,299,288.68/2,571.29
  6. Step 6: Final answer
    x = 2,449.86

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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.