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Finding the Fourth Proportional to 2,027, 3,041.09 and 640.53

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Solution

The fourth proportional to 2,027, 3,041.09 and 640.53 is: 960.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027 : 3,041.09 = 640.53 : x
  2. Step 2: Convert to fraction form
    2,027/3,041.09 = 640.53/x
  3. Step 3: Cross multiply
    2,027x = 3,041.09 × 640.53
  4. Step 4: Simplify right side
    2,027x = 1,947,909.38
  5. Step 5: Solve for x
    x = 1,947,909.38/2,027
  6. Step 6: Final answer
    x = 960.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.