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Finding the Fourth Proportional to 2,571.57, 3,855.41 and 1,183.94

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Solution

The fourth proportional to 2,571.57, 3,855.41 and 1,183.94 is: 1,775.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.57 : 3,855.41 = 1,183.94 : x
  2. Step 2: Convert to fraction form
    2,571.57/3,855.41 = 1,183.94/x
  3. Step 3: Cross multiply
    2,571.57x = 3,855.41 × 1,183.94
  4. Step 4: Simplify right side
    2,571.57x = 4,564,559.00
  5. Step 5: Solve for x
    x = 4,564,559.00/2,571.57
  6. Step 6: Final answer
    x = 1,775.01

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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.