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Finding the Fourth Proportional to 2,094.18, 3,141.18 and 633.27

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Solution

The fourth proportional to 2,094.18, 3,141.18 and 633.27 is: 949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.18 : 3,141.18 = 633.27 : x
  2. Step 2: Convert to fraction form
    2,094.18/3,141.18 = 633.27/x
  3. Step 3: Cross multiply
    2,094.18x = 3,141.18 × 633.27
  4. Step 4: Simplify right side
    2,094.18x = 1,989,215.06
  5. Step 5: Solve for x
    x = 1,989,215.06/2,094.18
  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.