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Finding the Fourth Proportional to 3,027.75, 4,542.71 and 1,489.83

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Solution

The fourth proportional to 3,027.75, 4,542.71 and 1,489.83 is: 2,235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.75 : 4,542.71 = 1,489.83 : x
  2. Step 2: Convert to fraction form
    3,027.75/4,542.71 = 1,489.83/x
  3. Step 3: Cross multiply
    3,027.75x = 4,542.71 × 1,489.83
  4. Step 4: Simplify right side
    3,027.75x = 6,767,858.19
  5. Step 5: Solve for x
    x = 6,767,858.19/3,027.75
  6. Step 6: Final answer
    x = 2,235.28

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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.