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Finding the Fourth Proportional to 1,930.33, 2,662.67 and 1,183.71

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Solution

The fourth proportional to 1,930.33, 2,662.67 and 1,183.71 is: 1,632.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.33 : 2,662.67 = 1,183.71 : x
  2. Step 2: Convert to fraction form
    1,930.33/2,662.67 = 1,183.71/x
  3. Step 3: Cross multiply
    1,930.33x = 2,662.67 × 1,183.71
  4. Step 4: Simplify right side
    1,930.33x = 3,151,842.05
  5. Step 5: Solve for x
    x = 3,151,842.05/1,930.33
  6. Step 6: Final answer
    x = 1,632.80

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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.