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Finding the Fourth Proportional to 3,027.96, 4,542.84 and 1,080.32

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Solution

The fourth proportional to 3,027.96, 4,542.84 and 1,080.32 is: 1,620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.96 : 4,542.84 = 1,080.32 : x
  2. Step 2: Convert to fraction form
    3,027.96/4,542.84 = 1,080.32/x
  3. Step 3: Cross multiply
    3,027.96x = 4,542.84 × 1,080.32
  4. Step 4: Simplify right side
    3,027.96x = 4,907,720.91
  5. Step 5: Solve for x
    x = 4,907,720.91/3,027.96
  6. Step 6: Final answer
    x = 1,620.80

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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.