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Finding the Fourth Proportional to 2,066, 3,099.46 and 911.76

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Solution

The fourth proportional to 2,066, 3,099.46 and 911.76 is: 1,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066 : 3,099.46 = 911.76 : x
  2. Step 2: Convert to fraction form
    2,066/3,099.46 = 911.76/x
  3. Step 3: Cross multiply
    2,066x = 3,099.46 × 911.76
  4. Step 4: Simplify right side
    2,066x = 2,825,963.65
  5. Step 5: Solve for x
    x = 2,825,963.65/2,066
  6. Step 6: Final answer
    x = 1,367.84

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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.