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Finding the Fourth Proportional to 1,946.33, 2,919.54 and 850.70

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Solution

The fourth proportional to 1,946.33, 2,919.54 and 850.70 is: 1,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.33 : 2,919.54 = 850.70 : x
  2. Step 2: Convert to fraction form
    1,946.33/2,919.54 = 850.70/x
  3. Step 3: Cross multiply
    1,946.33x = 2,919.54 × 850.70
  4. Step 4: Simplify right side
    1,946.33x = 2,483,663.17
  5. Step 5: Solve for x
    x = 2,483,663.17/1,946.33
  6. Step 6: Final answer
    x = 1,276.08

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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.