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Finding the Fourth Proportional to 1,512.37, 2,272.65 and 819.55

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Solution

The fourth proportional to 1,512.37, 2,272.65 and 819.55 is: 1,231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.37 : 2,272.65 = 819.55 : x
  2. Step 2: Convert to fraction form
    1,512.37/2,272.65 = 819.55/x
  3. Step 3: Cross multiply
    1,512.37x = 2,272.65 × 819.55
  4. Step 4: Simplify right side
    1,512.37x = 1,862,550.31
  5. Step 5: Solve for x
    x = 1,862,550.31/1,512.37
  6. Step 6: Final answer
    x = 1,231.54

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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.