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Finding the Fourth Proportional to 1,906.85, 2,611.74 and 1,794.77

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Solution

The fourth proportional to 1,906.85, 2,611.74 and 1,794.77 is: 2,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.85 : 2,611.74 = 1,794.77 : x
  2. Step 2: Convert to fraction form
    1,906.85/2,611.74 = 1,794.77/x
  3. Step 3: Cross multiply
    1,906.85x = 2,611.74 × 1,794.77
  4. Step 4: Simplify right side
    1,906.85x = 4,687,476.07
  5. Step 5: Solve for x
    x = 4,687,476.07/1,906.85
  6. Step 6: Final answer
    x = 2,458.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.