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Finding the Fourth Proportional to 2,629.38, 3,942.91 and 984.77

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Solution

The fourth proportional to 2,629.38, 3,942.91 and 984.77 is: 1,476.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.38 : 3,942.91 = 984.77 : x
  2. Step 2: Convert to fraction form
    2,629.38/3,942.91 = 984.77/x
  3. Step 3: Cross multiply
    2,629.38x = 3,942.91 × 984.77
  4. Step 4: Simplify right side
    2,629.38x = 3,882,866.18
  5. Step 5: Solve for x
    x = 3,882,866.18/2,629.38
  6. Step 6: Final answer
    x = 1,476.72

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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.