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Finding the Fourth Proportional to 2,793.96, 3,849.30 and 2,204.28

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Solution

The fourth proportional to 2,793.96, 3,849.30 and 2,204.28 is: 3,036.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.96 : 3,849.30 = 2,204.28 : x
  2. Step 2: Convert to fraction form
    2,793.96/3,849.30 = 2,204.28/x
  3. Step 3: Cross multiply
    2,793.96x = 3,849.30 × 2,204.28
  4. Step 4: Simplify right side
    2,793.96x = 8,484,935.00
  5. Step 5: Solve for x
    x = 8,484,935.00/2,793.96
  6. Step 6: Final answer
    x = 3,036.88

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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.