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Finding the Fourth Proportional to 3,121.69, 4,685.37 and 1,662.07

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Solution

The fourth proportional to 3,121.69, 4,685.37 and 1,662.07 is: 2,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.69 : 4,685.37 = 1,662.07 : x
  2. Step 2: Convert to fraction form
    3,121.69/4,685.37 = 1,662.07/x
  3. Step 3: Cross multiply
    3,121.69x = 4,685.37 × 1,662.07
  4. Step 4: Simplify right side
    3,121.69x = 7,787,412.92
  5. Step 5: Solve for x
    x = 7,787,412.92/3,121.69
  6. Step 6: Final answer
    x = 2,494.61

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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.