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Finding the Fourth Proportional to 3,295.92, 4,545.81 and 1,969.38

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Solution

The fourth proportional to 3,295.92, 4,545.81 and 1,969.38 is: 2,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.92 : 4,545.81 = 1,969.38 : x
  2. Step 2: Convert to fraction form
    3,295.92/4,545.81 = 1,969.38/x
  3. Step 3: Cross multiply
    3,295.92x = 4,545.81 × 1,969.38
  4. Step 4: Simplify right side
    3,295.92x = 8,952,427.30
  5. Step 5: Solve for x
    x = 8,952,427.30/3,295.92
  6. Step 6: Final answer
    x = 2,716.21

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Why These Related Problems?

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