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Finding the Fourth Proportional to 1,183.65, 1,784.34 and 1,104.36

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Solution

The fourth proportional to 1,183.65, 1,784.34 and 1,104.36 is: 1,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.65 : 1,784.34 = 1,104.36 : x
  2. Step 2: Convert to fraction form
    1,183.65/1,784.34 = 1,104.36/x
  3. Step 3: Cross multiply
    1,183.65x = 1,784.34 × 1,104.36
  4. Step 4: Simplify right side
    1,183.65x = 1,970,553.72
  5. Step 5: Solve for x
    x = 1,970,553.72/1,183.65
  6. Step 6: Final answer
    x = 1,664.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.