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Finding the Fourth Proportional to 2,008, 3,012 and 640

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Solution

The fourth proportional to 2,008, 3,012 and 640 is: 960

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008 : 3,012 = 640 : x
  2. Step 2: Convert to fraction form
    2,008/3,012 = 640/x
  3. Step 3: Cross multiply
    2,008x = 3,012 × 640
  4. Step 4: Simplify right side
    2,008x = 1,927,680
  5. Step 5: Solve for x
    x = 1,927,680/2,008
  6. Step 6: Final answer
    x = 960

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