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Finding the Fourth Proportional to 2,640.87, 3,644.43 and 1,462.05

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Solution

The fourth proportional to 2,640.87, 3,644.43 and 1,462.05 is: 2,017.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.87 : 3,644.43 = 1,462.05 : x
  2. Step 2: Convert to fraction form
    2,640.87/3,644.43 = 1,462.05/x
  3. Step 3: Cross multiply
    2,640.87x = 3,644.43 × 1,462.05
  4. Step 4: Simplify right side
    2,640.87x = 5,328,313.35
  5. Step 5: Solve for x
    x = 5,328,313.35/2,640.87
  6. Step 6: Final answer
    x = 2,017.64

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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.