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Finding the Fourth Proportional to 2,469.13, 3,703.86 and 825.66

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Solution

The fourth proportional to 2,469.13, 3,703.86 and 825.66 is: 1,238.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.13 : 3,703.86 = 825.66 : x
  2. Step 2: Convert to fraction form
    2,469.13/3,703.86 = 825.66/x
  3. Step 3: Cross multiply
    2,469.13x = 3,703.86 × 825.66
  4. Step 4: Simplify right side
    2,469.13x = 3,058,129.05
  5. Step 5: Solve for x
    x = 3,058,129.05/2,469.13
  6. Step 6: Final answer
    x = 1,238.55

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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.