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Finding the Fourth Proportional to 2,736.82, 3,771.93 and 2,072.08

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Solution

The fourth proportional to 2,736.82, 3,771.93 and 2,072.08 is: 2,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.82 : 3,771.93 = 2,072.08 : x
  2. Step 2: Convert to fraction form
    2,736.82/3,771.93 = 2,072.08/x
  3. Step 3: Cross multiply
    2,736.82x = 3,771.93 × 2,072.08
  4. Step 4: Simplify right side
    2,736.82x = 7,815,740.71
  5. Step 5: Solve for x
    x = 7,815,740.71/2,736.82
  6. Step 6: Final answer
    x = 2,855.77

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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.