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Finding the Fourth Proportional to 2,704.77, 3,729.47 and 1,997.64

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Solution

The fourth proportional to 2,704.77, 3,729.47 and 1,997.64 is: 2,754.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.77 : 3,729.47 = 1,997.64 : x
  2. Step 2: Convert to fraction form
    2,704.77/3,729.47 = 1,997.64/x
  3. Step 3: Cross multiply
    2,704.77x = 3,729.47 × 1,997.64
  4. Step 4: Simplify right side
    2,704.77x = 7,450,138.45
  5. Step 5: Solve for x
    x = 7,450,138.45/2,704.77
  6. Step 6: Final answer
    x = 2,754.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.