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Finding the Fourth Proportional to 2,512.75, 3,769.08 and 613.09

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Solution

The fourth proportional to 2,512.75, 3,769.08 and 613.09 is: 919.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.75 : 3,769.08 = 613.09 : x
  2. Step 2: Convert to fraction form
    2,512.75/3,769.08 = 613.09/x
  3. Step 3: Cross multiply
    2,512.75x = 3,769.08 × 613.09
  4. Step 4: Simplify right side
    2,512.75x = 2,310,785.26
  5. Step 5: Solve for x
    x = 2,310,785.26/2,512.75
  6. Step 6: Final answer
    x = 919.62

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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.