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Finding the Fourth Proportional to 2,087.21, 3,138.01 and 1,679.21

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Solution

The fourth proportional to 2,087.21, 3,138.01 and 1,679.21 is: 2,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.21 : 3,138.01 = 1,679.21 : x
  2. Step 2: Convert to fraction form
    2,087.21/3,138.01 = 1,679.21/x
  3. Step 3: Cross multiply
    2,087.21x = 3,138.01 × 1,679.21
  4. Step 4: Simplify right side
    2,087.21x = 5,269,369.65
  5. Step 5: Solve for x
    x = 5,269,369.65/2,087.21
  6. Step 6: Final answer
    x = 2,524.60

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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.