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Finding the Fourth Proportional to 2,796.44, 4,195.16 and 1,152.09

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Solution

The fourth proportional to 2,796.44, 4,195.16 and 1,152.09 is: 1,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.44 : 4,195.16 = 1,152.09 : x
  2. Step 2: Convert to fraction form
    2,796.44/4,195.16 = 1,152.09/x
  3. Step 3: Cross multiply
    2,796.44x = 4,195.16 × 1,152.09
  4. Step 4: Simplify right side
    2,796.44x = 4,833,201.88
  5. Step 5: Solve for x
    x = 4,833,201.88/2,796.44
  6. Step 6: Final answer
    x = 1,728.34

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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.