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Finding the Fourth Proportional to 1,796.27, 2,693.72 and 821.69

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Solution

The fourth proportional to 1,796.27, 2,693.72 and 821.69 is: 1,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.27 : 2,693.72 = 821.69 : x
  2. Step 2: Convert to fraction form
    1,796.27/2,693.72 = 821.69/x
  3. Step 3: Cross multiply
    1,796.27x = 2,693.72 × 821.69
  4. Step 4: Simplify right side
    1,796.27x = 2,213,402.79
  5. Step 5: Solve for x
    x = 2,213,402.79/1,796.27
  6. Step 6: Final answer
    x = 1,232.22

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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.