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Finding the Fourth Proportional to 1,231.31, 1,846.97 and 1,200.33

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Solution

The fourth proportional to 1,231.31, 1,846.97 and 1,200.33 is: 1,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.31 : 1,846.97 = 1,200.33 : x
  2. Step 2: Convert to fraction form
    1,231.31/1,846.97 = 1,200.33/x
  3. Step 3: Cross multiply
    1,231.31x = 1,846.97 × 1,200.33
  4. Step 4: Simplify right side
    1,231.31x = 2,216,972.00
  5. Step 5: Solve for x
    x = 2,216,972.00/1,231.31
  6. Step 6: Final answer
    x = 1,800.50

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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.