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Finding the Fourth Proportional to 1,894.70, 2,606.91 and 1,850.96

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Solution

The fourth proportional to 1,894.70, 2,606.91 and 1,850.96 is: 2,546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.70 : 2,606.91 = 1,850.96 : x
  2. Step 2: Convert to fraction form
    1,894.70/2,606.91 = 1,850.96/x
  3. Step 3: Cross multiply
    1,894.70x = 2,606.91 × 1,850.96
  4. Step 4: Simplify right side
    1,894.70x = 4,825,286.13
  5. Step 5: Solve for x
    x = 4,825,286.13/1,894.70
  6. Step 6: Final answer
    x = 2,546.73

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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.