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Finding the Fourth Proportional to 2,469.26, 3,703.55 and 825.77

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Solution

The fourth proportional to 2,469.26, 3,703.55 and 825.77 is: 1,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.26 : 3,703.55 = 825.77 : x
  2. Step 2: Convert to fraction form
    2,469.26/3,703.55 = 825.77/x
  3. Step 3: Cross multiply
    2,469.26x = 3,703.55 × 825.77
  4. Step 4: Simplify right side
    2,469.26x = 3,058,257.84
  5. Step 5: Solve for x
    x = 3,058,257.84/2,469.26
  6. Step 6: Final answer
    x = 1,238.53

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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.