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Finding the Fourth Proportional to 3,164.08, 4,745.48 and 855.04

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Solution

The fourth proportional to 3,164.08, 4,745.48 and 855.04 is: 1,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.08 : 4,745.48 = 855.04 : x
  2. Step 2: Convert to fraction form
    3,164.08/4,745.48 = 855.04/x
  3. Step 3: Cross multiply
    3,164.08x = 4,745.48 × 855.04
  4. Step 4: Simplify right side
    3,164.08x = 4,057,575.22
  5. Step 5: Solve for x
    x = 4,057,575.22/3,164.08
  6. Step 6: Final answer
    x = 1,282.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.