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Finding the Fourth Proportional to 2,094.23, 3,141.24 and 633.33

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Solution

The fourth proportional to 2,094.23, 3,141.24 and 633.33 is: 949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.23 : 3,141.24 = 633.33 : x
  2. Step 2: Convert to fraction form
    2,094.23/3,141.24 = 633.33/x
  3. Step 3: Cross multiply
    2,094.23x = 3,141.24 × 633.33
  4. Step 4: Simplify right side
    2,094.23x = 1,989,441.53
  5. Step 5: Solve for x
    x = 1,989,441.53/2,094.23
  6. Step 6: Final answer
    x = 949.97

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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.