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Finding the Fourth Proportional to 2,094.06, 3,141.20 and 633.23

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Solution

The fourth proportional to 2,094.06, 3,141.20 and 633.23 is: 949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.06 : 3,141.20 = 633.23 : x
  2. Step 2: Convert to fraction form
    2,094.06/3,141.20 = 633.23/x
  3. Step 3: Cross multiply
    2,094.06x = 3,141.20 × 633.23
  4. Step 4: Simplify right side
    2,094.06x = 1,989,102.08
  5. Step 5: Solve for x
    x = 1,989,102.08/2,094.06
  6. Step 6: Final answer
    x = 949.88

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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.