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Finding the Fourth Proportional to 2,559.83, 3,832.39 and 1,579.33

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Solution

The fourth proportional to 2,559.83, 3,832.39 and 1,579.33 is: 2,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.83 : 3,832.39 = 1,579.33 : x
  2. Step 2: Convert to fraction form
    2,559.83/3,832.39 = 1,579.33/x
  3. Step 3: Cross multiply
    2,559.83x = 3,832.39 × 1,579.33
  4. Step 4: Simplify right side
    2,559.83x = 6,052,608.50
  5. Step 5: Solve for x
    x = 6,052,608.50/2,559.83
  6. Step 6: Final answer
    x = 2,364.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.