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Finding the Fourth Proportional to 3,222.78, 4,448.28 and 1,896.92

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Solution

The fourth proportional to 3,222.78, 4,448.28 and 1,896.92 is: 2,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.78 : 4,448.28 = 1,896.92 : x
  2. Step 2: Convert to fraction form
    3,222.78/4,448.28 = 1,896.92/x
  3. Step 3: Cross multiply
    3,222.78x = 4,448.28 × 1,896.92
  4. Step 4: Simplify right side
    3,222.78x = 8,438,009.06
  5. Step 5: Solve for x
    x = 8,438,009.06/3,222.78
  6. Step 6: Final answer
    x = 2,618.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.