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Finding the Fourth Proportional to 2,632.28, 3,949.46 and 989.26

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Solution

The fourth proportional to 2,632.28, 3,949.46 and 989.26 is: 1,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.28 : 3,949.46 = 989.26 : x
  2. Step 2: Convert to fraction form
    2,632.28/3,949.46 = 989.26/x
  3. Step 3: Cross multiply
    2,632.28x = 3,949.46 × 989.26
  4. Step 4: Simplify right side
    2,632.28x = 3,907,042.80
  5. Step 5: Solve for x
    x = 3,907,042.80/2,632.28
  6. Step 6: Final answer
    x = 1,484.28

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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.