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Finding the Fourth Proportional to 2,524.77, 3,483.07 and 1,579.97

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Solution

The fourth proportional to 2,524.77, 3,483.07 and 1,579.97 is: 2,179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.77 : 3,483.07 = 1,579.97 : x
  2. Step 2: Convert to fraction form
    2,524.77/3,483.07 = 1,579.97/x
  3. Step 3: Cross multiply
    2,524.77x = 3,483.07 × 1,579.97
  4. Step 4: Simplify right side
    2,524.77x = 5,503,150.87
  5. Step 5: Solve for x
    x = 5,503,150.87/2,524.77
  6. Step 6: Final answer
    x = 2,179.66

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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.