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Finding the Fourth Proportional to 1,995.25, 2,978.26 and 1,850.69

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Solution

The fourth proportional to 1,995.25, 2,978.26 and 1,850.69 is: 2,762.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.25 : 2,978.26 = 1,850.69 : x
  2. Step 2: Convert to fraction form
    1,995.25/2,978.26 = 1,850.69/x
  3. Step 3: Cross multiply
    1,995.25x = 2,978.26 × 1,850.69
  4. Step 4: Simplify right side
    1,995.25x = 5,511,836.00
  5. Step 5: Solve for x
    x = 5,511,836.00/1,995.25
  6. Step 6: Final answer
    x = 2,762.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.