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Finding the Fourth Proportional to 3,293.69, 4,545.43 and 1,896.44

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Solution

The fourth proportional to 3,293.69, 4,545.43 and 1,896.44 is: 2,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.69 : 4,545.43 = 1,896.44 : x
  2. Step 2: Convert to fraction form
    3,293.69/4,545.43 = 1,896.44/x
  3. Step 3: Cross multiply
    3,293.69x = 4,545.43 × 1,896.44
  4. Step 4: Simplify right side
    3,293.69x = 8,620,135.27
  5. Step 5: Solve for x
    x = 8,620,135.27/3,293.69
  6. Step 6: Final answer
    x = 2,617.17

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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.