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Finding the Fourth Proportional to 3,102.78, 4,287.15 and 2,512.29

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Solution

The fourth proportional to 3,102.78, 4,287.15 and 2,512.29 is: 3,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.78 : 4,287.15 = 2,512.29 : x
  2. Step 2: Convert to fraction form
    3,102.78/4,287.15 = 2,512.29/x
  3. Step 3: Cross multiply
    3,102.78x = 4,287.15 × 2,512.29
  4. Step 4: Simplify right side
    3,102.78x = 10,770,564.07
  5. Step 5: Solve for x
    x = 10,770,564.07/3,102.78
  6. Step 6: Final answer
    x = 3,471.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.