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Finding the Fourth Proportional to 2,797.65, 4,197.09 and 850.02

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Solution

The fourth proportional to 2,797.65, 4,197.09 and 850.02 is: 1,275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.65 : 4,197.09 = 850.02 : x
  2. Step 2: Convert to fraction form
    2,797.65/4,197.09 = 850.02/x
  3. Step 3: Cross multiply
    2,797.65x = 4,197.09 × 850.02
  4. Step 4: Simplify right side
    2,797.65x = 3,567,610.44
  5. Step 5: Solve for x
    x = 3,567,610.44/2,797.65
  6. Step 6: Final answer
    x = 1,275.22

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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.