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Finding the Fourth Proportional to 2,666.14, 3,997.90 and 816.81

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Solution

The fourth proportional to 2,666.14, 3,997.90 and 816.81 is: 1,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.14 : 3,997.90 = 816.81 : x
  2. Step 2: Convert to fraction form
    2,666.14/3,997.90 = 816.81/x
  3. Step 3: Cross multiply
    2,666.14x = 3,997.90 × 816.81
  4. Step 4: Simplify right side
    2,666.14x = 3,265,530.92
  5. Step 5: Solve for x
    x = 3,265,530.92/2,666.14
  6. Step 6: Final answer
    x = 1,224.81

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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.