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Finding the Fourth Proportional to 2,009.32, 3,013.34 and 641

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Solution

The fourth proportional to 2,009.32, 3,013.34 and 641 is: 961.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.32 : 3,013.34 = 641 : x
  2. Step 2: Convert to fraction form
    2,009.32/3,013.34 = 641/x
  3. Step 3: Cross multiply
    2,009.32x = 3,013.34 × 641
  4. Step 4: Simplify right side
    2,009.32x = 1,931,550.94
  5. Step 5: Solve for x
    x = 1,931,550.94/2,009.32
  6. Step 6: Final answer
    x = 961.30

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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.