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Finding the Fourth Proportional to 1,906.75, 2,860.05 and 1,073.80

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Solution

The fourth proportional to 1,906.75, 2,860.05 and 1,073.80 is: 1,610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.75 : 2,860.05 = 1,073.80 : x
  2. Step 2: Convert to fraction form
    1,906.75/2,860.05 = 1,073.80/x
  3. Step 3: Cross multiply
    1,906.75x = 2,860.05 × 1,073.80
  4. Step 4: Simplify right side
    1,906.75x = 3,071,121.69
  5. Step 5: Solve for x
    x = 3,071,121.69/1,906.75
  6. Step 6: Final answer
    x = 1,610.66

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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.