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Finding the Fourth Proportional to 1,896.24, 2,844.75 and 800.61

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Solution

The fourth proportional to 1,896.24, 2,844.75 and 800.61 is: 1,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.24 : 2,844.75 = 800.61 : x
  2. Step 2: Convert to fraction form
    1,896.24/2,844.75 = 800.61/x
  3. Step 3: Cross multiply
    1,896.24x = 2,844.75 × 800.61
  4. Step 4: Simplify right side
    1,896.24x = 2,277,535.30
  5. Step 5: Solve for x
    x = 2,277,535.30/1,896.24
  6. Step 6: Final answer
    x = 1,201.08

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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.