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Finding the Fourth Proportional to 2,133.39, 2,944.46 and 1,694.64

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Solution

The fourth proportional to 2,133.39, 2,944.46 and 1,694.64 is: 2,338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.39 : 2,944.46 = 1,694.64 : x
  2. Step 2: Convert to fraction form
    2,133.39/2,944.46 = 1,694.64/x
  3. Step 3: Cross multiply
    2,133.39x = 2,944.46 × 1,694.64
  4. Step 4: Simplify right side
    2,133.39x = 4,989,791.22
  5. Step 5: Solve for x
    x = 4,989,791.22/2,133.39
  6. Step 6: Final answer
    x = 2,338.90

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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.