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Finding the Fourth Proportional to 2,571.06, 3,856.24 and 927.38

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Solution

The fourth proportional to 2,571.06, 3,856.24 and 927.38 is: 1,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.06 : 3,856.24 = 927.38 : x
  2. Step 2: Convert to fraction form
    2,571.06/3,856.24 = 927.38/x
  3. Step 3: Cross multiply
    2,571.06x = 3,856.24 × 927.38
  4. Step 4: Simplify right side
    2,571.06x = 3,576,199.85
  5. Step 5: Solve for x
    x = 3,576,199.85/2,571.06
  6. Step 6: Final answer
    x = 1,390.94

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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.