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Finding the Fourth Proportional to 2,986.85, 4,108.15 and 2,396.09

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Solution

The fourth proportional to 2,986.85, 4,108.15 and 2,396.09 is: 3,295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.85 : 4,108.15 = 2,396.09 : x
  2. Step 2: Convert to fraction form
    2,986.85/4,108.15 = 2,396.09/x
  3. Step 3: Cross multiply
    2,986.85x = 4,108.15 × 2,396.09
  4. Step 4: Simplify right side
    2,986.85x = 9,843,497.13
  5. Step 5: Solve for x
    x = 9,843,497.13/2,986.85
  6. Step 6: Final answer
    x = 3,295.61

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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.