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Finding the Fourth Proportional to 2,593.88, 3,579.42 and 1,414.94

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Solution

The fourth proportional to 2,593.88, 3,579.42 and 1,414.94 is: 1,952.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.88 : 3,579.42 = 1,414.94 : x
  2. Step 2: Convert to fraction form
    2,593.88/3,579.42 = 1,414.94/x
  3. Step 3: Cross multiply
    2,593.88x = 3,579.42 × 1,414.94
  4. Step 4: Simplify right side
    2,593.88x = 5,064,646.64
  5. Step 5: Solve for x
    x = 5,064,646.64/2,593.88
  6. Step 6: Final answer
    x = 1,952.54

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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.