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Finding the Fourth Proportional to 2,771.90, 3,825.23 and 1,512.96

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Solution

The fourth proportional to 2,771.90, 3,825.23 and 1,512.96 is: 2,087.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.90 : 3,825.23 = 1,512.96 : x
  2. Step 2: Convert to fraction form
    2,771.90/3,825.23 = 1,512.96/x
  3. Step 3: Cross multiply
    2,771.90x = 3,825.23 × 1,512.96
  4. Step 4: Simplify right side
    2,771.90x = 5,787,419.59
  5. Step 5: Solve for x
    x = 5,787,419.59/2,771.90
  6. Step 6: Final answer
    x = 2,087.89

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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.