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Finding the Fourth Proportional to 3,239.90, 4,469.79 and 1,823.26

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Solution

The fourth proportional to 3,239.90, 4,469.79 and 1,823.26 is: 2,515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.90 : 4,469.79 = 1,823.26 : x
  2. Step 2: Convert to fraction form
    3,239.90/4,469.79 = 1,823.26/x
  3. Step 3: Cross multiply
    3,239.90x = 4,469.79 × 1,823.26
  4. Step 4: Simplify right side
    3,239.90x = 8,149,589.32
  5. Step 5: Solve for x
    x = 8,149,589.32/3,239.90
  6. Step 6: Final answer
    x = 2,515.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.