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Finding the Fourth Proportional to 2,849, 4,273.66 and 797.16

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Solution

The fourth proportional to 2,849, 4,273.66 and 797.16 is: 1,195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849 : 4,273.66 = 797.16 : x
  2. Step 2: Convert to fraction form
    2,849/4,273.66 = 797.16/x
  3. Step 3: Cross multiply
    2,849x = 4,273.66 × 797.16
  4. Step 4: Simplify right side
    2,849x = 3,406,790.81
  5. Step 5: Solve for x
    x = 3,406,790.81/2,849
  6. Step 6: Final answer
    x = 1,195.78

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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.