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Finding the Fourth Proportional to 2,843.91, 3,924.91 and 2,047.02

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Solution

The fourth proportional to 2,843.91, 3,924.91 and 2,047.02 is: 2,825.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.91 : 3,924.91 = 2,047.02 : x
  2. Step 2: Convert to fraction form
    2,843.91/3,924.91 = 2,047.02/x
  3. Step 3: Cross multiply
    2,843.91x = 3,924.91 × 2,047.02
  4. Step 4: Simplify right side
    2,843.91x = 8,034,367.67
  5. Step 5: Solve for x
    x = 8,034,367.67/2,843.91
  6. Step 6: Final answer
    x = 2,825.11

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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.