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Finding the Fourth Proportional to 1,929.35, 2,662.76 and 1,183.17

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Solution

The fourth proportional to 1,929.35, 2,662.76 and 1,183.17 is: 1,632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.35 : 2,662.76 = 1,183.17 : x
  2. Step 2: Convert to fraction form
    1,929.35/2,662.76 = 1,183.17/x
  3. Step 3: Cross multiply
    1,929.35x = 2,662.76 × 1,183.17
  4. Step 4: Simplify right side
    1,929.35x = 3,150,497.75
  5. Step 5: Solve for x
    x = 3,150,497.75/1,929.35
  6. Step 6: Final answer
    x = 1,632.93

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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.