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Finding the Fourth Proportional to 2,256.03, 3,385.31 and 796.05

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Solution

The fourth proportional to 2,256.03, 3,385.31 and 796.05 is: 1,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.03 : 3,385.31 = 796.05 : x
  2. Step 2: Convert to fraction form
    2,256.03/3,385.31 = 796.05/x
  3. Step 3: Cross multiply
    2,256.03x = 3,385.31 × 796.05
  4. Step 4: Simplify right side
    2,256.03x = 2,694,872.05
  5. Step 5: Solve for x
    x = 2,694,872.05/2,256.03
  6. Step 6: Final answer
    x = 1,194.52

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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.