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Finding the Fourth Proportional to 2,072.11, 3,107.82 and 685.39

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Solution

The fourth proportional to 2,072.11, 3,107.82 and 685.39 is: 1,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.11 : 3,107.82 = 685.39 : x
  2. Step 2: Convert to fraction form
    2,072.11/3,107.82 = 685.39/x
  3. Step 3: Cross multiply
    2,072.11x = 3,107.82 × 685.39
  4. Step 4: Simplify right side
    2,072.11x = 2,130,068.75
  5. Step 5: Solve for x
    x = 2,130,068.75/2,072.11
  6. Step 6: Final answer
    x = 1,027.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.