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Finding the Fourth Proportional to 2,768.15, 3,818.97 and 1,824.45

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Solution

The fourth proportional to 2,768.15, 3,818.97 and 1,824.45 is: 2,517.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.15 : 3,818.97 = 1,824.45 : x
  2. Step 2: Convert to fraction form
    2,768.15/3,818.97 = 1,824.45/x
  3. Step 3: Cross multiply
    2,768.15x = 3,818.97 × 1,824.45
  4. Step 4: Simplify right side
    2,768.15x = 6,967,519.82
  5. Step 5: Solve for x
    x = 6,967,519.82/2,768.15
  6. Step 6: Final answer
    x = 2,517.04

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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.