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Finding the Fourth Proportional to 2,771.80, 3,825.15 and 1,576.98

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Solution

The fourth proportional to 2,771.80, 3,825.15 and 1,576.98 is: 2,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.80 : 3,825.15 = 1,576.98 : x
  2. Step 2: Convert to fraction form
    2,771.80/3,825.15 = 1,576.98/x
  3. Step 3: Cross multiply
    2,771.80x = 3,825.15 × 1,576.98
  4. Step 4: Simplify right side
    2,771.80x = 6,032,185.05
  5. Step 5: Solve for x
    x = 6,032,185.05/2,771.80
  6. Step 6: Final answer
    x = 2,176.27

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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.