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Finding the Fourth Proportional to 2,255.02, 3,380.30 and 793.38

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Solution

The fourth proportional to 2,255.02, 3,380.30 and 793.38 is: 1,189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.02 : 3,380.30 = 793.38 : x
  2. Step 2: Convert to fraction form
    2,255.02/3,380.30 = 793.38/x
  3. Step 3: Cross multiply
    2,255.02x = 3,380.30 × 793.38
  4. Step 4: Simplify right side
    2,255.02x = 2,681,862.41
  5. Step 5: Solve for x
    x = 2,681,862.41/2,255.02
  6. Step 6: Final answer
    x = 1,189.29

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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.