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Finding the Fourth Proportional to 3,028.56, 4,542 and 1,080.48

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Solution

The fourth proportional to 3,028.56, 4,542 and 1,080.48 is: 1,620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.56 : 4,542 = 1,080.48 : x
  2. Step 2: Convert to fraction form
    3,028.56/4,542 = 1,080.48/x
  3. Step 3: Cross multiply
    3,028.56x = 4,542 × 1,080.48
  4. Step 4: Simplify right side
    3,028.56x = 4,907,540.16
  5. Step 5: Solve for x
    x = 4,907,540.16/3,028.56
  6. Step 6: Final answer
    x = 1,620.42

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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.