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Finding the Fourth Proportional to 1,382.33, 1,906.74 and 1,050.03

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Solution

The fourth proportional to 1,382.33, 1,906.74 and 1,050.03 is: 1,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.33 : 1,906.74 = 1,050.03 : x
  2. Step 2: Convert to fraction form
    1,382.33/1,906.74 = 1,050.03/x
  3. Step 3: Cross multiply
    1,382.33x = 1,906.74 × 1,050.03
  4. Step 4: Simplify right side
    1,382.33x = 2,002,134.20
  5. Step 5: Solve for x
    x = 2,002,134.20/1,382.33
  6. Step 6: Final answer
    x = 1,448.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.