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Finding the Fourth Proportional to 2,834.54, 4,243.71 and 2,186.54

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Solution

The fourth proportional to 2,834.54, 4,243.71 and 2,186.54 is: 3,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.54 : 4,243.71 = 2,186.54 : x
  2. Step 2: Convert to fraction form
    2,834.54/4,243.71 = 2,186.54/x
  3. Step 3: Cross multiply
    2,834.54x = 4,243.71 × 2,186.54
  4. Step 4: Simplify right side
    2,834.54x = 9,279,041.66
  5. Step 5: Solve for x
    x = 9,279,041.66/2,834.54
  6. Step 6: Final answer
    x = 3,273.56

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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.