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Finding the Fourth Proportional to 2,757.78, 4,131.24 and 1,715.34

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Solution

The fourth proportional to 2,757.78, 4,131.24 and 1,715.34 is: 2,569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.78 : 4,131.24 = 1,715.34 : x
  2. Step 2: Convert to fraction form
    2,757.78/4,131.24 = 1,715.34/x
  3. Step 3: Cross multiply
    2,757.78x = 4,131.24 × 1,715.34
  4. Step 4: Simplify right side
    2,757.78x = 7,086,481.22
  5. Step 5: Solve for x
    x = 7,086,481.22/2,757.78
  6. Step 6: Final answer
    x = 2,569.63

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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.