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Finding the Fourth Proportional to 2,094.96, 3,143.26 and 634.26

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Solution

The fourth proportional to 2,094.96, 3,143.26 and 634.26 is: 951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.96 : 3,143.26 = 634.26 : x
  2. Step 2: Convert to fraction form
    2,094.96/3,143.26 = 634.26/x
  3. Step 3: Cross multiply
    2,094.96x = 3,143.26 × 634.26
  4. Step 4: Simplify right side
    2,094.96x = 1,993,644.09
  5. Step 5: Solve for x
    x = 1,993,644.09/2,094.96
  6. Step 6: Final answer
    x = 951.64

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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.