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Finding the Fourth Proportional to 2,751.44, 3,796.56 and 1,757.60

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Solution

The fourth proportional to 2,751.44, 3,796.56 and 1,757.60 is: 2,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.44 : 3,796.56 = 1,757.60 : x
  2. Step 2: Convert to fraction form
    2,751.44/3,796.56 = 1,757.60/x
  3. Step 3: Cross multiply
    2,751.44x = 3,796.56 × 1,757.60
  4. Step 4: Simplify right side
    2,751.44x = 6,672,833.86
  5. Step 5: Solve for x
    x = 6,672,833.86/2,751.44
  6. Step 6: Final answer
    x = 2,425.22

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Why These Related Problems?

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