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Finding the Fourth Proportional to 4,161.64, 6,243.06 and 1,696.60

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Solution

The fourth proportional to 4,161.64, 6,243.06 and 1,696.60 is: 2,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.64 : 6,243.06 = 1,696.60 : x
  2. Step 2: Convert to fraction form
    4,161.64/6,243.06 = 1,696.60/x
  3. Step 3: Cross multiply
    4,161.64x = 6,243.06 × 1,696.60
  4. Step 4: Simplify right side
    4,161.64x = 10,591,975.60
  5. Step 5: Solve for x
    x = 10,591,975.60/4,161.64
  6. Step 6: Final answer
    x = 2,545.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.