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Finding the Fourth Proportional to 1,961.34, 2,706.75 and 1,077.09

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Solution

The fourth proportional to 1,961.34, 2,706.75 and 1,077.09 is: 1,486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.34 : 2,706.75 = 1,077.09 : x
  2. Step 2: Convert to fraction form
    1,961.34/2,706.75 = 1,077.09/x
  3. Step 3: Cross multiply
    1,961.34x = 2,706.75 × 1,077.09
  4. Step 4: Simplify right side
    1,961.34x = 2,915,413.36
  5. Step 5: Solve for x
    x = 2,915,413.36/1,961.34
  6. Step 6: Final answer
    x = 1,486.44

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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.