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Finding the Fourth Proportional to 2,706.26, 3,734.54 and 1,698.51

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Solution

The fourth proportional to 2,706.26, 3,734.54 and 1,698.51 is: 2,343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.26 : 3,734.54 = 1,698.51 : x
  2. Step 2: Convert to fraction form
    2,706.26/3,734.54 = 1,698.51/x
  3. Step 3: Cross multiply
    2,706.26x = 3,734.54 × 1,698.51
  4. Step 4: Simplify right side
    2,706.26x = 6,343,153.54
  5. Step 5: Solve for x
    x = 6,343,153.54/2,706.26
  6. Step 6: Final answer
    x = 2,343.88

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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.