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Finding the Fourth Proportional to 2,627.96, 3,940.97 and 1,166.81

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Solution

The fourth proportional to 2,627.96, 3,940.97 and 1,166.81 is: 1,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.96 : 3,940.97 = 1,166.81 : x
  2. Step 2: Convert to fraction form
    2,627.96/3,940.97 = 1,166.81/x
  3. Step 3: Cross multiply
    2,627.96x = 3,940.97 × 1,166.81
  4. Step 4: Simplify right side
    2,627.96x = 4,598,337.67
  5. Step 5: Solve for x
    x = 4,598,337.67/2,627.96
  6. Step 6: Final answer
    x = 1,749.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.