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Finding the Fourth Proportional to 2,072.62, 2,858.79 and 1,984.06

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Solution

The fourth proportional to 2,072.62, 2,858.79 and 1,984.06 is: 2,736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.62 : 2,858.79 = 1,984.06 : x
  2. Step 2: Convert to fraction form
    2,072.62/2,858.79 = 1,984.06/x
  3. Step 3: Cross multiply
    2,072.62x = 2,858.79 × 1,984.06
  4. Step 4: Simplify right side
    2,072.62x = 5,672,010.89
  5. Step 5: Solve for x
    x = 5,672,010.89/2,072.62
  6. Step 6: Final answer
    x = 2,736.64

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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.