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Finding the Fourth Proportional to 1,904.78, 2,855.94 and 808.85

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Solution

The fourth proportional to 1,904.78, 2,855.94 and 808.85 is: 1,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.78 : 2,855.94 = 808.85 : x
  2. Step 2: Convert to fraction form
    1,904.78/2,855.94 = 808.85/x
  3. Step 3: Cross multiply
    1,904.78x = 2,855.94 × 808.85
  4. Step 4: Simplify right side
    1,904.78x = 2,310,027.07
  5. Step 5: Solve for x
    x = 2,310,027.07/1,904.78
  6. Step 6: Final answer
    x = 1,212.75

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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.