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Finding the Fourth Proportional to 1,996.08, 2,993.46 and 841.56

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Solution

The fourth proportional to 1,996.08, 2,993.46 and 841.56 is: 1,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.08 : 2,993.46 = 841.56 : x
  2. Step 2: Convert to fraction form
    1,996.08/2,993.46 = 841.56/x
  3. Step 3: Cross multiply
    1,996.08x = 2,993.46 × 841.56
  4. Step 4: Simplify right side
    1,996.08x = 2,519,176.20
  5. Step 5: Solve for x
    x = 2,519,176.20/1,996.08
  6. Step 6: Final answer
    x = 1,262.06

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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.