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Finding the Fourth Proportional to 2,706.25, 3,735.84 and 1,999.53

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Solution

The fourth proportional to 2,706.25, 3,735.84 and 1,999.53 is: 2,760.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.25 : 3,735.84 = 1,999.53 : x
  2. Step 2: Convert to fraction form
    2,706.25/3,735.84 = 1,999.53/x
  3. Step 3: Cross multiply
    2,706.25x = 3,735.84 × 1,999.53
  4. Step 4: Simplify right side
    2,706.25x = 7,469,924.16
  5. Step 5: Solve for x
    x = 7,469,924.16/2,706.25
  6. Step 6: Final answer
    x = 2,760.25

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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.