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Finding the Fourth Proportional to 2,094.68, 3,141.44 and 633.88

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Solution

The fourth proportional to 2,094.68, 3,141.44 and 633.88 is: 950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.68 : 3,141.44 = 633.88 : x
  2. Step 2: Convert to fraction form
    2,094.68/3,141.44 = 633.88/x
  3. Step 3: Cross multiply
    2,094.68x = 3,141.44 × 633.88
  4. Step 4: Simplify right side
    2,094.68x = 1,991,295.99
  5. Step 5: Solve for x
    x = 1,991,295.99/2,094.68
  6. Step 6: Final answer
    x = 950.64

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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.