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Finding the Fourth Proportional to 1,936.55, 2,905.30 and 620.31

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Solution

The fourth proportional to 1,936.55, 2,905.30 and 620.31 is: 930.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.55 : 2,905.30 = 620.31 : x
  2. Step 2: Convert to fraction form
    1,936.55/2,905.30 = 620.31/x
  3. Step 3: Cross multiply
    1,936.55x = 2,905.30 × 620.31
  4. Step 4: Simplify right side
    1,936.55x = 1,802,172.12
  5. Step 5: Solve for x
    x = 1,802,172.12/1,936.55
  6. Step 6: Final answer
    x = 930.61

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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.