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Finding the Fourth Proportional to 2,003.32, 3,006.05 and 834.11

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Solution

The fourth proportional to 2,003.32, 3,006.05 and 834.11 is: 1,251.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.32 : 3,006.05 = 834.11 : x
  2. Step 2: Convert to fraction form
    2,003.32/3,006.05 = 834.11/x
  3. Step 3: Cross multiply
    2,003.32x = 3,006.05 × 834.11
  4. Step 4: Simplify right side
    2,003.32x = 2,507,385.35
  5. Step 5: Solve for x
    x = 2,507,385.35/2,003.32
  6. Step 6: Final answer
    x = 1,251.62

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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.