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Finding the Fourth Proportional to 2,794.50, 4,190.09 and 1,233.72

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Solution

The fourth proportional to 2,794.50, 4,190.09 and 1,233.72 is: 1,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.50 : 4,190.09 = 1,233.72 : x
  2. Step 2: Convert to fraction form
    2,794.50/4,190.09 = 1,233.72/x
  3. Step 3: Cross multiply
    2,794.50x = 4,190.09 × 1,233.72
  4. Step 4: Simplify right side
    2,794.50x = 5,169,397.83
  5. Step 5: Solve for x
    x = 5,169,397.83/2,794.50
  6. Step 6: Final answer
    x = 1,849.85

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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.