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Finding the Fourth Proportional to 1,796.76, 2,694.54 and 822.34

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Solution

The fourth proportional to 1,796.76, 2,694.54 and 822.34 is: 1,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.76 : 2,694.54 = 822.34 : x
  2. Step 2: Convert to fraction form
    1,796.76/2,694.54 = 822.34/x
  3. Step 3: Cross multiply
    1,796.76x = 2,694.54 × 822.34
  4. Step 4: Simplify right side
    1,796.76x = 2,215,828.02
  5. Step 5: Solve for x
    x = 2,215,828.02/1,796.76
  6. Step 6: Final answer
    x = 1,233.24

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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.