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Finding the Fourth Proportional to 2,771.78, 3,825.34 and 2,685.74

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Solution

The fourth proportional to 2,771.78, 3,825.34 and 2,685.74 is: 3,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.78 : 3,825.34 = 2,685.74 : x
  2. Step 2: Convert to fraction form
    2,771.78/3,825.34 = 2,685.74/x
  3. Step 3: Cross multiply
    2,771.78x = 3,825.34 × 2,685.74
  4. Step 4: Simplify right side
    2,771.78x = 10,273,842.81
  5. Step 5: Solve for x
    x = 10,273,842.81/2,771.78
  6. Step 6: Final answer
    x = 3,706.59

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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.