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Finding the Fourth Proportional to 1,940.64, 2,910.39 and 844.74

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Solution

The fourth proportional to 1,940.64, 2,910.39 and 844.74 is: 1,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.64 : 2,910.39 = 844.74 : x
  2. Step 2: Convert to fraction form
    1,940.64/2,910.39 = 844.74/x
  3. Step 3: Cross multiply
    1,940.64x = 2,910.39 × 844.74
  4. Step 4: Simplify right side
    1,940.64x = 2,458,522.85
  5. Step 5: Solve for x
    x = 2,458,522.85/1,940.64
  6. Step 6: Final answer
    x = 1,266.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.