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Finding the Fourth Proportional to 2,006, 3,007.68 and 965.96

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Solution

The fourth proportional to 2,006, 3,007.68 and 965.96 is: 1,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006 : 3,007.68 = 965.96 : x
  2. Step 2: Convert to fraction form
    2,006/3,007.68 = 965.96/x
  3. Step 3: Cross multiply
    2,006x = 3,007.68 × 965.96
  4. Step 4: Simplify right side
    2,006x = 2,905,298.57
  5. Step 5: Solve for x
    x = 2,905,298.57/2,006
  6. Step 6: Final answer
    x = 1,448.30

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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.