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Finding the Fourth Proportional to 2,107.89, 3,161.91 and 721.35

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Solution

The fourth proportional to 2,107.89, 3,161.91 and 721.35 is: 1,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.89 : 3,161.91 = 721.35 : x
  2. Step 2: Convert to fraction form
    2,107.89/3,161.91 = 721.35/x
  3. Step 3: Cross multiply
    2,107.89x = 3,161.91 × 721.35
  4. Step 4: Simplify right side
    2,107.89x = 2,280,843.78
  5. Step 5: Solve for x
    x = 2,280,843.78/2,107.89
  6. Step 6: Final answer
    x = 1,082.05

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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.