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Finding the Fourth Proportional to 2,640.09, 3,644.90 and 1,646.73

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Solution

The fourth proportional to 2,640.09, 3,644.90 and 1,646.73 is: 2,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.09 : 3,644.90 = 1,646.73 : x
  2. Step 2: Convert to fraction form
    2,640.09/3,644.90 = 1,646.73/x
  3. Step 3: Cross multiply
    2,640.09x = 3,644.90 × 1,646.73
  4. Step 4: Simplify right side
    2,640.09x = 6,002,164.12
  5. Step 5: Solve for x
    x = 6,002,164.12/2,640.09
  6. Step 6: Final answer
    x = 2,273.47

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1.5x scale

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.