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Finding the Fourth Proportional to 1,183.90, 1,784.72 and 1,104.61

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Solution

The fourth proportional to 1,183.90, 1,784.72 and 1,104.61 is: 1,665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.90 : 1,784.72 = 1,104.61 : x
  2. Step 2: Convert to fraction form
    1,183.90/1,784.72 = 1,104.61/x
  3. Step 3: Cross multiply
    1,183.90x = 1,784.72 × 1,104.61
  4. Step 4: Simplify right side
    1,183.90x = 1,971,419.56
  5. Step 5: Solve for x
    x = 1,971,419.56/1,183.90
  6. Step 6: Final answer
    x = 1,665.19

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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.