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Finding the Fourth Proportional to 2,051.92, 3,072.97 and 1,183.60

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Solution

The fourth proportional to 2,051.92, 3,072.97 and 1,183.60 is: 1,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.92 : 3,072.97 = 1,183.60 : x
  2. Step 2: Convert to fraction form
    2,051.92/3,072.97 = 1,183.60/x
  3. Step 3: Cross multiply
    2,051.92x = 3,072.97 × 1,183.60
  4. Step 4: Simplify right side
    2,051.92x = 3,637,148.97
  5. Step 5: Solve for x
    x = 3,637,148.97/2,051.92
  6. Step 6: Final answer
    x = 1,772.56

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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.