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Finding the Fourth Proportional to 2,588.20, 3,571.74 and 1,469.20

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Solution

The fourth proportional to 2,588.20, 3,571.74 and 1,469.20 is: 2,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.20 : 3,571.74 = 1,469.20 : x
  2. Step 2: Convert to fraction form
    2,588.20/3,571.74 = 1,469.20/x
  3. Step 3: Cross multiply
    2,588.20x = 3,571.74 × 1,469.20
  4. Step 4: Simplify right side
    2,588.20x = 5,247,600.41
  5. Step 5: Solve for x
    x = 5,247,600.41/2,588.20
  6. Step 6: Final answer
    x = 2,027.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.