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Finding the Fourth Proportional to 2,628.20, 3,942.71 and 984.65

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Solution

The fourth proportional to 2,628.20, 3,942.71 and 984.65 is: 1,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.20 : 3,942.71 = 984.65 : x
  2. Step 2: Convert to fraction form
    2,628.20/3,942.71 = 984.65/x
  3. Step 3: Cross multiply
    2,628.20x = 3,942.71 × 984.65
  4. Step 4: Simplify right side
    2,628.20x = 3,882,164.76
  5. Step 5: Solve for x
    x = 3,882,164.76/2,628.20
  6. Step 6: Final answer
    x = 1,477.12

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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.