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Finding the Fourth Proportional to 3,121.74, 4,683.42 and 1,478.25

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Solution

The fourth proportional to 3,121.74, 4,683.42 and 1,478.25 is: 2,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.74 : 4,683.42 = 1,478.25 : x
  2. Step 2: Convert to fraction form
    3,121.74/4,683.42 = 1,478.25/x
  3. Step 3: Cross multiply
    3,121.74x = 4,683.42 × 1,478.25
  4. Step 4: Simplify right side
    3,121.74x = 6,923,265.62
  5. Step 5: Solve for x
    x = 6,923,265.62/3,121.74
  6. Step 6: Final answer
    x = 2,217.76

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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.