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Finding the Fourth Proportional to 2,771.53, 3,824.69 and 1,512.58

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Solution

The fourth proportional to 2,771.53, 3,824.69 and 1,512.58 is: 2,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.53 : 3,824.69 = 1,512.58 : x
  2. Step 2: Convert to fraction form
    2,771.53/3,824.69 = 1,512.58/x
  3. Step 3: Cross multiply
    2,771.53x = 3,824.69 × 1,512.58
  4. Step 4: Simplify right side
    2,771.53x = 5,785,122.91
  5. Step 5: Solve for x
    x = 5,785,122.91/2,771.53
  6. Step 6: Final answer
    x = 2,087.34

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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.