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Finding the Fourth Proportional to 2,006, 3,009 and 1,128.56

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Solution

The fourth proportional to 2,006, 3,009 and 1,128.56 is: 1,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006 : 3,009 = 1,128.56 : x
  2. Step 2: Convert to fraction form
    2,006/3,009 = 1,128.56/x
  3. Step 3: Cross multiply
    2,006x = 3,009 × 1,128.56
  4. Step 4: Simplify right side
    2,006x = 3,395,837.04
  5. Step 5: Solve for x
    x = 3,395,837.04/2,006
  6. Step 6: Final answer
    x = 1,692.84

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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.