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Finding the Fourth Proportional to 3,274.70, 4,912.40 and 1,889.60

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Solution

The fourth proportional to 3,274.70, 4,912.40 and 1,889.60 is: 2,834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.70 : 4,912.40 = 1,889.60 : x
  2. Step 2: Convert to fraction form
    3,274.70/4,912.40 = 1,889.60/x
  3. Step 3: Cross multiply
    3,274.70x = 4,912.40 × 1,889.60
  4. Step 4: Simplify right side
    3,274.70x = 9,282,473.87
  5. Step 5: Solve for x
    x = 9,282,473.87/3,274.70
  6. Step 6: Final answer
    x = 2,834.60

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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.