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Finding the Fourth Proportional to 2,469.35, 3,704.09 and 825.59

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Solution

The fourth proportional to 2,469.35, 3,704.09 and 825.59 is: 1,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.35 : 3,704.09 = 825.59 : x
  2. Step 2: Convert to fraction form
    2,469.35/3,704.09 = 825.59/x
  3. Step 3: Cross multiply
    2,469.35x = 3,704.09 × 825.59
  4. Step 4: Simplify right side
    2,469.35x = 3,058,037.01
  5. Step 5: Solve for x
    x = 3,058,037.01/2,469.35
  6. Step 6: Final answer
    x = 1,238.40

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1.5x scale

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.