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Finding the Fourth Proportional to 2,094.28, 3,141.57 and 633.54

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Solution

The fourth proportional to 2,094.28, 3,141.57 and 633.54 is: 950.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.28 : 3,141.57 = 633.54 : x
  2. Step 2: Convert to fraction form
    2,094.28/3,141.57 = 633.54/x
  3. Step 3: Cross multiply
    2,094.28x = 3,141.57 × 633.54
  4. Step 4: Simplify right side
    2,094.28x = 1,990,319.66
  5. Step 5: Solve for x
    x = 1,990,319.66/2,094.28
  6. Step 6: Final answer
    x = 950.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.