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Finding the Fourth Proportional to 2,771.85, 3,825.20 and 2,175.05

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Solution

The fourth proportional to 2,771.85, 3,825.20 and 2,175.05 is: 3,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.85 : 3,825.20 = 2,175.05 : x
  2. Step 2: Convert to fraction form
    2,771.85/3,825.20 = 2,175.05/x
  3. Step 3: Cross multiply
    2,771.85x = 3,825.20 × 2,175.05
  4. Step 4: Simplify right side
    2,771.85x = 8,320,016.26
  5. Step 5: Solve for x
    x = 8,320,016.26/2,771.85
  6. Step 6: Final answer
    x = 3,001.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.