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Finding the Fourth Proportional to 3,223.26, 4,448.70 and 1,896.90

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Solution

The fourth proportional to 3,223.26, 4,448.70 and 1,896.90 is: 2,618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.26 : 4,448.70 = 1,896.90 : x
  2. Step 2: Convert to fraction form
    3,223.26/4,448.70 = 1,896.90/x
  3. Step 3: Cross multiply
    3,223.26x = 4,448.70 × 1,896.90
  4. Step 4: Simplify right side
    3,223.26x = 8,438,739.03
  5. Step 5: Solve for x
    x = 8,438,739.03/3,223.26
  6. Step 6: Final answer
    x = 2,618.08

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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.