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Finding the Fourth Proportional to 2,486.67, 3,728.12 and 2,144.04

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Solution

The fourth proportional to 2,486.67, 3,728.12 and 2,144.04 is: 3,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.67 : 3,728.12 = 2,144.04 : x
  2. Step 2: Convert to fraction form
    2,486.67/3,728.12 = 2,144.04/x
  3. Step 3: Cross multiply
    2,486.67x = 3,728.12 × 2,144.04
  4. Step 4: Simplify right side
    2,486.67x = 7,993,209.04
  5. Step 5: Solve for x
    x = 7,993,209.04/2,486.67
  6. Step 6: Final answer
    x = 3,214.43

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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.