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Finding the Fourth Proportional to 2,757.60, 4,137.83 and 1,524.78

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Solution

The fourth proportional to 2,757.60, 4,137.83 and 1,524.78 is: 2,287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.60 : 4,137.83 = 1,524.78 : x
  2. Step 2: Convert to fraction form
    2,757.60/4,137.83 = 1,524.78/x
  3. Step 3: Cross multiply
    2,757.60x = 4,137.83 × 1,524.78
  4. Step 4: Simplify right side
    2,757.60x = 6,309,272.80
  5. Step 5: Solve for x
    x = 6,309,272.80/2,757.60
  6. Step 6: Final answer
    x = 2,287.96

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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.