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Finding the Fourth Proportional to 2,186, 3,286.20 and 2,025.62

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Solution

The fourth proportional to 2,186, 3,286.20 and 2,025.62 is: 3,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186 : 3,286.20 = 2,025.62 : x
  2. Step 2: Convert to fraction form
    2,186/3,286.20 = 2,025.62/x
  3. Step 3: Cross multiply
    2,186x = 3,286.20 × 2,025.62
  4. Step 4: Simplify right side
    2,186x = 6,656,592.44
  5. Step 5: Solve for x
    x = 6,656,592.44/2,186
  6. Step 6: Final answer
    x = 3,045.10

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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.