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Finding the Fourth Proportional to 2,706.23, 3,734.67 and 1,657.69

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Solution

The fourth proportional to 2,706.23, 3,734.67 and 1,657.69 is: 2,287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.23 : 3,734.67 = 1,657.69 : x
  2. Step 2: Convert to fraction form
    2,706.23/3,734.67 = 1,657.69/x
  3. Step 3: Cross multiply
    2,706.23x = 3,734.67 × 1,657.69
  4. Step 4: Simplify right side
    2,706.23x = 6,190,921.99
  5. Step 5: Solve for x
    x = 6,190,921.99/2,706.23
  6. Step 6: Final answer
    x = 2,287.65

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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.