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Finding the Fourth Proportional to 2,738.72, 4,109.44 and 1,277.62

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Solution

The fourth proportional to 2,738.72, 4,109.44 and 1,277.62 is: 1,917.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.72 : 4,109.44 = 1,277.62 : x
  2. Step 2: Convert to fraction form
    2,738.72/4,109.44 = 1,277.62/x
  3. Step 3: Cross multiply
    2,738.72x = 4,109.44 × 1,277.62
  4. Step 4: Simplify right side
    2,738.72x = 5,250,302.73
  5. Step 5: Solve for x
    x = 5,250,302.73/2,738.72
  6. Step 6: Final answer
    x = 1,917.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.