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Finding the Fourth Proportional to 2,296.67, 3,169.49 and 1,301.99

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Solution

The fourth proportional to 2,296.67, 3,169.49 and 1,301.99 is: 1,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.67 : 3,169.49 = 1,301.99 : x
  2. Step 2: Convert to fraction form
    2,296.67/3,169.49 = 1,301.99/x
  3. Step 3: Cross multiply
    2,296.67x = 3,169.49 × 1,301.99
  4. Step 4: Simplify right side
    2,296.67x = 4,126,621.93
  5. Step 5: Solve for x
    x = 4,126,621.93/2,296.67
  6. Step 6: Final answer
    x = 1,796.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.