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Finding the Fourth Proportional to 2,593.90, 3,579.50 and 1,414.90

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Solution

The fourth proportional to 2,593.90, 3,579.50 and 1,414.90 is: 1,952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.90 : 3,579.50 = 1,414.90 : x
  2. Step 2: Convert to fraction form
    2,593.90/3,579.50 = 1,414.90/x
  3. Step 3: Cross multiply
    2,593.90x = 3,579.50 × 1,414.90
  4. Step 4: Simplify right side
    2,593.90x = 5,064,634.55
  5. Step 5: Solve for x
    x = 5,064,634.55/2,593.90
  6. Step 6: Final answer
    x = 1,952.52

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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.