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Finding the Fourth Proportional to 2,628.80, 3,942.94 and 984.56

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Solution

The fourth proportional to 2,628.80, 3,942.94 and 984.56 is: 1,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.80 : 3,942.94 = 984.56 : x
  2. Step 2: Convert to fraction form
    2,628.80/3,942.94 = 984.56/x
  3. Step 3: Cross multiply
    2,628.80x = 3,942.94 × 984.56
  4. Step 4: Simplify right side
    2,628.80x = 3,882,061.01
  5. Step 5: Solve for x
    x = 3,882,061.01/2,628.80
  6. Step 6: Final answer
    x = 1,476.74

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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.