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Finding the Fourth Proportional to 2,793.66, 4,190.82 and 1,233

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Solution

The fourth proportional to 2,793.66, 4,190.82 and 1,233 is: 1,849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.66 : 4,190.82 = 1,233 : x
  2. Step 2: Convert to fraction form
    2,793.66/4,190.82 = 1,233/x
  3. Step 3: Cross multiply
    2,793.66x = 4,190.82 × 1,233
  4. Step 4: Simplify right side
    2,793.66x = 5,167,281.06
  5. Step 5: Solve for x
    x = 5,167,281.06/2,793.66
  6. Step 6: Final answer
    x = 1,849.65

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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.