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Finding the Fourth Proportional to 2,115.99, 3,173.31 and 635.04

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Solution

The fourth proportional to 2,115.99, 3,173.31 and 635.04 is: 952.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.99 : 3,173.31 = 635.04 : x
  2. Step 2: Convert to fraction form
    2,115.99/3,173.31 = 635.04/x
  3. Step 3: Cross multiply
    2,115.99x = 3,173.31 × 635.04
  4. Step 4: Simplify right side
    2,115.99x = 2,015,178.78
  5. Step 5: Solve for x
    x = 2,015,178.78/2,115.99
  6. Step 6: Final answer
    x = 952.36

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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.