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Finding the Fourth Proportional to 2,796.35, 4,194.72 and 848.54

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Solution

The fourth proportional to 2,796.35, 4,194.72 and 848.54 is: 1,272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.35 : 4,194.72 = 848.54 : x
  2. Step 2: Convert to fraction form
    2,796.35/4,194.72 = 848.54/x
  3. Step 3: Cross multiply
    2,796.35x = 4,194.72 × 848.54
  4. Step 4: Simplify right side
    2,796.35x = 3,559,398.20
  5. Step 5: Solve for x
    x = 3,559,398.20/2,796.35
  6. Step 6: Final answer
    x = 1,272.88

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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.