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Finding the Fourth Proportional to 2,469.07, 3,703.97 and 825.22

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Solution

The fourth proportional to 2,469.07, 3,703.97 and 825.22 is: 1,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.07 : 3,703.97 = 825.22 : x
  2. Step 2: Convert to fraction form
    2,469.07/3,703.97 = 825.22/x
  3. Step 3: Cross multiply
    2,469.07x = 3,703.97 × 825.22
  4. Step 4: Simplify right side
    2,469.07x = 3,056,590.12
  5. Step 5: Solve for x
    x = 3,056,590.12/2,469.07
  6. Step 6: Final answer
    x = 1,237.95

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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.