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Finding the Fourth Proportional to 2,644.88, 3,967.36 and 796.08

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Solution

The fourth proportional to 2,644.88, 3,967.36 and 796.08 is: 1,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.88 : 3,967.36 = 796.08 : x
  2. Step 2: Convert to fraction form
    2,644.88/3,967.36 = 796.08/x
  3. Step 3: Cross multiply
    2,644.88x = 3,967.36 × 796.08
  4. Step 4: Simplify right side
    2,644.88x = 3,158,335.95
  5. Step 5: Solve for x
    x = 3,158,335.95/2,644.88
  6. Step 6: Final answer
    x = 1,194.13

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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.