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Finding the Fourth Proportional to 2,593.76, 3,579.37 and 1,414.80

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Solution

The fourth proportional to 2,593.76, 3,579.37 and 1,414.80 is: 1,952.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.76 : 3,579.37 = 1,414.80 : x
  2. Step 2: Convert to fraction form
    2,593.76/3,579.37 = 1,414.80/x
  3. Step 3: Cross multiply
    2,593.76x = 3,579.37 × 1,414.80
  4. Step 4: Simplify right side
    2,593.76x = 5,064,092.68
  5. Step 5: Solve for x
    x = 5,064,092.68/2,593.76
  6. Step 6: Final answer
    x = 1,952.41

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1.5x scale

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.