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Finding the Fourth Proportional to 2,645.26, 3,967.80 and 796.30

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Solution

The fourth proportional to 2,645.26, 3,967.80 and 796.30 is: 1,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.26 : 3,967.80 = 796.30 : x
  2. Step 2: Convert to fraction form
    2,645.26/3,967.80 = 796.30/x
  3. Step 3: Cross multiply
    2,645.26x = 3,967.80 × 796.30
  4. Step 4: Simplify right side
    2,645.26x = 3,159,559.14
  5. Step 5: Solve for x
    x = 3,159,559.14/2,645.26
  6. Step 6: Final answer
    x = 1,194.42

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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.