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Finding the Fourth Proportional to 1,946.25, 2,919.37 and 850.70

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Solution

The fourth proportional to 1,946.25, 2,919.37 and 850.70 is: 1,276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.25 : 2,919.37 = 850.70 : x
  2. Step 2: Convert to fraction form
    1,946.25/2,919.37 = 850.70/x
  3. Step 3: Cross multiply
    1,946.25x = 2,919.37 × 850.70
  4. Step 4: Simplify right side
    1,946.25x = 2,483,493.46
  5. Step 5: Solve for x
    x = 2,483,493.46/1,946.25
  6. Step 6: Final answer
    x = 1,276.04

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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.