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Finding the Fourth Proportional to 1,383.50, 1,910.59 and 1,183.17

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Solution

The fourth proportional to 1,383.50, 1,910.59 and 1,183.17 is: 1,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.50 : 1,910.59 = 1,183.17 : x
  2. Step 2: Convert to fraction form
    1,383.50/1,910.59 = 1,183.17/x
  3. Step 3: Cross multiply
    1,383.50x = 1,910.59 × 1,183.17
  4. Step 4: Simplify right side
    1,383.50x = 2,260,549.81
  5. Step 5: Solve for x
    x = 2,260,549.81/1,383.50
  6. Step 6: Final answer
    x = 1,633.93

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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.