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Finding the Fourth Proportional to 2,556.73, 3,832.53 and 1,633.33

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Solution

The fourth proportional to 2,556.73, 3,832.53 and 1,633.33 is: 2,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.73 : 3,832.53 = 1,633.33 : x
  2. Step 2: Convert to fraction form
    2,556.73/3,832.53 = 1,633.33/x
  3. Step 3: Cross multiply
    2,556.73x = 3,832.53 × 1,633.33
  4. Step 4: Simplify right side
    2,556.73x = 6,259,786.22
  5. Step 5: Solve for x
    x = 6,259,786.22/2,556.73
  6. Step 6: Final answer
    x = 2,448.36

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