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Finding the Fourth Proportional to 1,963.36, 2,945.12 and 809

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Solution

The fourth proportional to 1,963.36, 2,945.12 and 809 is: 1,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.36 : 2,945.12 = 809 : x
  2. Step 2: Convert to fraction form
    1,963.36/2,945.12 = 809/x
  3. Step 3: Cross multiply
    1,963.36x = 2,945.12 × 809
  4. Step 4: Simplify right side
    1,963.36x = 2,382,602.08
  5. Step 5: Solve for x
    x = 2,382,602.08/1,963.36
  6. Step 6: Final answer
    x = 1,213.53

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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.