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Finding the Fourth Proportional to 2,469.04, 3,703.73 and 825.58

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Solution

The fourth proportional to 2,469.04, 3,703.73 and 825.58 is: 1,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.04 : 3,703.73 = 825.58 : x
  2. Step 2: Convert to fraction form
    2,469.04/3,703.73 = 825.58/x
  3. Step 3: Cross multiply
    2,469.04x = 3,703.73 × 825.58
  4. Step 4: Simplify right side
    2,469.04x = 3,057,712.03
  5. Step 5: Solve for x
    x = 3,057,712.03/2,469.04
  6. Step 6: Final answer
    x = 1,238.42

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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.