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Finding the Fourth Proportional to 2,706.82, 3,735.82 and 1,964.15

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Solution

The fourth proportional to 2,706.82, 3,735.82 and 1,964.15 is: 2,710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.82 : 3,735.82 = 1,964.15 : x
  2. Step 2: Convert to fraction form
    2,706.82/3,735.82 = 1,964.15/x
  3. Step 3: Cross multiply
    2,706.82x = 3,735.82 × 1,964.15
  4. Step 4: Simplify right side
    2,706.82x = 7,337,708.64
  5. Step 5: Solve for x
    x = 7,337,708.64/2,706.82
  6. Step 6: Final answer
    x = 2,710.83

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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.