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Finding the Fourth Proportional to 2,706.44, 3,734.70 and 1,527.28

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Solution

The fourth proportional to 2,706.44, 3,734.70 and 1,527.28 is: 2,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.44 : 3,734.70 = 1,527.28 : x
  2. Step 2: Convert to fraction form
    2,706.44/3,734.70 = 1,527.28/x
  3. Step 3: Cross multiply
    2,706.44x = 3,734.70 × 1,527.28
  4. Step 4: Simplify right side
    2,706.44x = 5,703,932.62
  5. Step 5: Solve for x
    x = 5,703,932.62/2,706.44
  6. Step 6: Final answer
    x = 2,107.54

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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.