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Finding the Fourth Proportional to 2,844.69, 3,923.22 and 1,849.61

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Solution

The fourth proportional to 2,844.69, 3,923.22 and 1,849.61 is: 2,550.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.69 : 3,923.22 = 1,849.61 : x
  2. Step 2: Convert to fraction form
    2,844.69/3,923.22 = 1,849.61/x
  3. Step 3: Cross multiply
    2,844.69x = 3,923.22 × 1,849.61
  4. Step 4: Simplify right side
    2,844.69x = 7,256,398.08
  5. Step 5: Solve for x
    x = 7,256,398.08/2,844.69
  6. Step 6: Final answer
    x = 2,550.86

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