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Finding the Fourth Proportional to 1,904.21, 2,855.96 and 863.96

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Solution

The fourth proportional to 1,904.21, 2,855.96 and 863.96 is: 1,295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.21 : 2,855.96 = 863.96 : x
  2. Step 2: Convert to fraction form
    1,904.21/2,855.96 = 863.96/x
  3. Step 3: Cross multiply
    1,904.21x = 2,855.96 × 863.96
  4. Step 4: Simplify right side
    1,904.21x = 2,467,427.87
  5. Step 5: Solve for x
    x = 2,467,427.87/1,904.21
  6. Step 6: Final answer
    x = 1,295.78

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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.