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Finding the Fourth Proportional to 3,362.49, 4,640.16 and 1,945.98

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Solution

The fourth proportional to 3,362.49, 4,640.16 and 1,945.98 is: 2,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.49 : 4,640.16 = 1,945.98 : x
  2. Step 2: Convert to fraction form
    3,362.49/4,640.16 = 1,945.98/x
  3. Step 3: Cross multiply
    3,362.49x = 4,640.16 × 1,945.98
  4. Step 4: Simplify right side
    3,362.49x = 9,029,668.66
  5. Step 5: Solve for x
    x = 9,029,668.66/3,362.49
  6. Step 6: Final answer
    x = 2,685.41

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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.