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Finding the Fourth Proportional to 2,593.92, 3,579.60 and 1,415.01

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Solution

The fourth proportional to 2,593.92, 3,579.60 and 1,415.01 is: 1,952.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.92 : 3,579.60 = 1,415.01 : x
  2. Step 2: Convert to fraction form
    2,593.92/3,579.60 = 1,415.01/x
  3. Step 3: Cross multiply
    2,593.92x = 3,579.60 × 1,415.01
  4. Step 4: Simplify right side
    2,593.92x = 5,065,169.80
  5. Step 5: Solve for x
    x = 5,065,169.80/2,593.92
  6. Step 6: Final answer
    x = 1,952.71

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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.