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Finding the Fourth Proportional to 2,167.26, 3,252.32 and 799.26

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Solution

The fourth proportional to 2,167.26, 3,252.32 and 799.26 is: 1,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.26 : 3,252.32 = 799.26 : x
  2. Step 2: Convert to fraction form
    2,167.26/3,252.32 = 799.26/x
  3. Step 3: Cross multiply
    2,167.26x = 3,252.32 × 799.26
  4. Step 4: Simplify right side
    2,167.26x = 2,599,449.28
  5. Step 5: Solve for x
    x = 2,599,449.28/2,167.26
  6. Step 6: Final answer
    x = 1,199.42

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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.