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Finding the Fourth Proportional to 2,768.76, 3,824.19 and 2,021.58

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Solution

The fourth proportional to 2,768.76, 3,824.19 and 2,021.58 is: 2,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.76 : 3,824.19 = 2,021.58 : x
  2. Step 2: Convert to fraction form
    2,768.76/3,824.19 = 2,021.58/x
  3. Step 3: Cross multiply
    2,768.76x = 3,824.19 × 2,021.58
  4. Step 4: Simplify right side
    2,768.76x = 7,730,906.02
  5. Step 5: Solve for x
    x = 7,730,906.02/2,768.76
  6. Step 6: Final answer
    x = 2,792.19

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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.