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Finding the Fourth Proportional to 2,274.06, 3,410.48 and 793.38

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Solution

The fourth proportional to 2,274.06, 3,410.48 and 793.38 is: 1,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.06 : 3,410.48 = 793.38 : x
  2. Step 2: Convert to fraction form
    2,274.06/3,410.48 = 793.38/x
  3. Step 3: Cross multiply
    2,274.06x = 3,410.48 × 793.38
  4. Step 4: Simplify right side
    2,274.06x = 2,705,806.62
  5. Step 5: Solve for x
    x = 2,705,806.62/2,274.06
  6. Step 6: Final answer
    x = 1,189.86

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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.