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Finding the Fourth Proportional to 2,512.30, 3,768.47 and 757.31

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Solution

The fourth proportional to 2,512.30, 3,768.47 and 757.31 is: 1,135.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.30 : 3,768.47 = 757.31 : x
  2. Step 2: Convert to fraction form
    2,512.30/3,768.47 = 757.31/x
  3. Step 3: Cross multiply
    2,512.30x = 3,768.47 × 757.31
  4. Step 4: Simplify right side
    2,512.30x = 2,853,888.70
  5. Step 5: Solve for x
    x = 2,853,888.70/2,512.30
  6. Step 6: Final answer
    x = 1,135.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.