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Finding the Fourth Proportional to 2,796.85, 4,195.01 and 849.07

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Solution

The fourth proportional to 2,796.85, 4,195.01 and 849.07 is: 1,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.85 : 4,195.01 = 849.07 : x
  2. Step 2: Convert to fraction form
    2,796.85/4,195.01 = 849.07/x
  3. Step 3: Cross multiply
    2,796.85x = 4,195.01 × 849.07
  4. Step 4: Simplify right side
    2,796.85x = 3,561,866.57
  5. Step 5: Solve for x
    x = 3,561,866.57/2,796.85
  6. Step 6: Final answer
    x = 1,273.53

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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.