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Finding the Fourth Proportional to 3,362.96, 4,640.52 and 1,965.44

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Solution

The fourth proportional to 3,362.96, 4,640.52 and 1,965.44 is: 2,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.96 : 4,640.52 = 1,965.44 : x
  2. Step 2: Convert to fraction form
    3,362.96/4,640.52 = 1,965.44/x
  3. Step 3: Cross multiply
    3,362.96x = 4,640.52 × 1,965.44
  4. Step 4: Simplify right side
    3,362.96x = 9,120,663.63
  5. Step 5: Solve for x
    x = 9,120,663.63/3,362.96
  6. Step 6: Final answer
    x = 2,712.09

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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.