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Finding the Fourth Proportional to 2,067.56, 2,852.82 and 1,542.44

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Solution

The fourth proportional to 2,067.56, 2,852.82 and 1,542.44 is: 2,128.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.56 : 2,852.82 = 1,542.44 : x
  2. Step 2: Convert to fraction form
    2,067.56/2,852.82 = 1,542.44/x
  3. Step 3: Cross multiply
    2,067.56x = 2,852.82 × 1,542.44
  4. Step 4: Simplify right side
    2,067.56x = 4,400,303.68
  5. Step 5: Solve for x
    x = 4,400,303.68/2,067.56
  6. Step 6: Final answer
    x = 2,128.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.