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Finding the Fourth Proportional to 1,946.80, 2,918.56 and 850.33

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Solution

The fourth proportional to 1,946.80, 2,918.56 and 850.33 is: 1,274.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.80 : 2,918.56 = 850.33 : x
  2. Step 2: Convert to fraction form
    1,946.80/2,918.56 = 850.33/x
  3. Step 3: Cross multiply
    1,946.80x = 2,918.56 × 850.33
  4. Step 4: Simplify right side
    1,946.80x = 2,481,724.53
  5. Step 5: Solve for x
    x = 2,481,724.53/1,946.80
  6. Step 6: Final answer
    x = 1,274.77

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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.