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Finding the Fourth Proportional to 2,589, 3,572.91 and 1,469.99

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Solution

The fourth proportional to 2,589, 3,572.91 and 1,469.99 is: 2,028.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589 : 3,572.91 = 1,469.99 : x
  2. Step 2: Convert to fraction form
    2,589/3,572.91 = 1,469.99/x
  3. Step 3: Cross multiply
    2,589x = 3,572.91 × 1,469.99
  4. Step 4: Simplify right side
    2,589x = 5,252,124.11
  5. Step 5: Solve for x
    x = 5,252,124.11/2,589
  6. Step 6: Final answer
    x = 2,028.63

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Why These Related Problems?

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