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Finding the Fourth Proportional to 2,796.82, 4,195.32 and 1,335.22

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Solution

The fourth proportional to 2,796.82, 4,195.32 and 1,335.22 is: 2,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.82 : 4,195.32 = 1,335.22 : x
  2. Step 2: Convert to fraction form
    2,796.82/4,195.32 = 1,335.22/x
  3. Step 3: Cross multiply
    2,796.82x = 4,195.32 × 1,335.22
  4. Step 4: Simplify right side
    2,796.82x = 5,601,675.17
  5. Step 5: Solve for x
    x = 5,601,675.17/2,796.82
  6. Step 6: Final answer
    x = 2,002.87

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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.