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Finding the Fourth Proportional to 2,664, 3,994.74 and 814.68

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Solution

The fourth proportional to 2,664, 3,994.74 and 814.68 is: 1,221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664 : 3,994.74 = 814.68 : x
  2. Step 2: Convert to fraction form
    2,664/3,994.74 = 814.68/x
  3. Step 3: Cross multiply
    2,664x = 3,994.74 × 814.68
  4. Step 4: Simplify right side
    2,664x = 3,254,434.78
  5. Step 5: Solve for x
    x = 3,254,434.78/2,664
  6. Step 6: Final answer
    x = 1,221.63

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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.