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Finding the Fourth Proportional to 2,079.98, 3,121.25 and 969.20

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Solution

The fourth proportional to 2,079.98, 3,121.25 and 969.20 is: 1,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.98 : 3,121.25 = 969.20 : x
  2. Step 2: Convert to fraction form
    2,079.98/3,121.25 = 969.20/x
  3. Step 3: Cross multiply
    2,079.98x = 3,121.25 × 969.20
  4. Step 4: Simplify right side
    2,079.98x = 3,025,095.05
  5. Step 5: Solve for x
    x = 3,025,095.05/2,079.98
  6. Step 6: Final answer
    x = 1,454.39

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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.