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Finding the Fourth Proportional to 2,593.75, 3,579.38 and 1,662.31

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Solution

The fourth proportional to 2,593.75, 3,579.38 and 1,662.31 is: 2,293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.75 : 3,579.38 = 1,662.31 : x
  2. Step 2: Convert to fraction form
    2,593.75/3,579.38 = 1,662.31/x
  3. Step 3: Cross multiply
    2,593.75x = 3,579.38 × 1,662.31
  4. Step 4: Simplify right side
    2,593.75x = 5,950,039.17
  5. Step 5: Solve for x
    x = 5,950,039.17/2,593.75
  6. Step 6: Final answer
    x = 2,293.99

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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.