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Finding the Fourth Proportional to 2,798.24, 4,196.08 and 850.08

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Solution

The fourth proportional to 2,798.24, 4,196.08 and 850.08 is: 1,274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.24 : 4,196.08 = 850.08 : x
  2. Step 2: Convert to fraction form
    2,798.24/4,196.08 = 850.08/x
  3. Step 3: Cross multiply
    2,798.24x = 4,196.08 × 850.08
  4. Step 4: Simplify right side
    2,798.24x = 3,567,003.69
  5. Step 5: Solve for x
    x = 3,567,003.69/2,798.24
  6. Step 6: Final answer
    x = 1,274.73

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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.