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Finding the Fourth Proportional to 2,004.62, 2,764.78 and 1,257.80

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Solution

The fourth proportional to 2,004.62, 2,764.78 and 1,257.80 is: 1,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.62 : 2,764.78 = 1,257.80 : x
  2. Step 2: Convert to fraction form
    2,004.62/2,764.78 = 1,257.80/x
  3. Step 3: Cross multiply
    2,004.62x = 2,764.78 × 1,257.80
  4. Step 4: Simplify right side
    2,004.62x = 3,477,540.28
  5. Step 5: Solve for x
    x = 3,477,540.28/2,004.62
  6. Step 6: Final answer
    x = 1,734.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.