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Finding the Fourth Proportional to 1,796.69, 2,693.30 and 563.24

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Solution

The fourth proportional to 1,796.69, 2,693.30 and 563.24 is: 844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.69 : 2,693.30 = 563.24 : x
  2. Step 2: Convert to fraction form
    1,796.69/2,693.30 = 563.24/x
  3. Step 3: Cross multiply
    1,796.69x = 2,693.30 × 563.24
  4. Step 4: Simplify right side
    1,796.69x = 1,516,968.97
  5. Step 5: Solve for x
    x = 1,516,968.97/1,796.69
  6. Step 6: Final answer
    x = 844.31

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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.