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Finding the Fourth Proportional to 1,906.01, 2,855.84 and 1,834.02

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Solution

The fourth proportional to 1,906.01, 2,855.84 and 1,834.02 is: 2,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.01 : 2,855.84 = 1,834.02 : x
  2. Step 2: Convert to fraction form
    1,906.01/2,855.84 = 1,834.02/x
  3. Step 3: Cross multiply
    1,906.01x = 2,855.84 × 1,834.02
  4. Step 4: Simplify right side
    1,906.01x = 5,237,658.51
  5. Step 5: Solve for x
    x = 5,237,658.51/1,906.01
  6. Step 6: Final answer
    x = 2,747.98

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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.