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Finding the Fourth Proportional to 2,556.44, 3,832.22 and 1,629.39

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Solution

The fourth proportional to 2,556.44, 3,832.22 and 1,629.39 is: 2,442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.44 : 3,832.22 = 1,629.39 : x
  2. Step 2: Convert to fraction form
    2,556.44/3,832.22 = 1,629.39/x
  3. Step 3: Cross multiply
    2,556.44x = 3,832.22 × 1,629.39
  4. Step 4: Simplify right side
    2,556.44x = 6,244,185.02
  5. Step 5: Solve for x
    x = 6,244,185.02/2,556.44
  6. Step 6: Final answer
    x = 2,442.54

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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.