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Finding the Fourth Proportional to 2,288.54, 3,157.99 and 1,280.23

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Solution

The fourth proportional to 2,288.54, 3,157.99 and 1,280.23 is: 1,766.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.54 : 3,157.99 = 1,280.23 : x
  2. Step 2: Convert to fraction form
    2,288.54/3,157.99 = 1,280.23/x
  3. Step 3: Cross multiply
    2,288.54x = 3,157.99 × 1,280.23
  4. Step 4: Simplify right side
    2,288.54x = 4,042,942.44
  5. Step 5: Solve for x
    x = 4,042,942.44/2,288.54
  6. Step 6: Final answer
    x = 1,766.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.