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Finding the Fourth Proportional to 2,986.62, 4,122.18 and 2,280.30

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Solution

The fourth proportional to 2,986.62, 4,122.18 and 2,280.30 is: 3,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.62 : 4,122.18 = 2,280.30 : x
  2. Step 2: Convert to fraction form
    2,986.62/4,122.18 = 2,280.30/x
  3. Step 3: Cross multiply
    2,986.62x = 4,122.18 × 2,280.30
  4. Step 4: Simplify right side
    2,986.62x = 9,399,807.05
  5. Step 5: Solve for x
    x = 9,399,807.05/2,986.62
  6. Step 6: Final answer
    x = 3,147.31

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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.