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Finding the Fourth Proportional to 2,982.88, 4,473.19 and 2,396.44

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Solution

The fourth proportional to 2,982.88, 4,473.19 and 2,396.44 is: 3,593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.88 : 4,473.19 = 2,396.44 : x
  2. Step 2: Convert to fraction form
    2,982.88/4,473.19 = 2,396.44/x
  3. Step 3: Cross multiply
    2,982.88x = 4,473.19 × 2,396.44
  4. Step 4: Simplify right side
    2,982.88x = 10,719,697.10
  5. Step 5: Solve for x
    x = 10,719,697.10/2,982.88
  6. Step 6: Final answer
    x = 3,593.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.