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Finding the Fourth Proportional to 2,589, 3,572.46 and 1,594.44

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Solution

The fourth proportional to 2,589, 3,572.46 and 1,594.44 is: 2,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589 : 3,572.46 = 1,594.44 : x
  2. Step 2: Convert to fraction form
    2,589/3,572.46 = 1,594.44/x
  3. Step 3: Cross multiply
    2,589x = 3,572.46 × 1,594.44
  4. Step 4: Simplify right side
    2,589x = 5,696,073.12
  5. Step 5: Solve for x
    x = 5,696,073.12/2,589
  6. Step 6: Final answer
    x = 2,200.11

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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.