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Finding the Fourth Proportional to 1,850.14, 2,775.19 and 754.25

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Solution

The fourth proportional to 1,850.14, 2,775.19 and 754.25 is: 1,131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.14 : 2,775.19 = 754.25 : x
  2. Step 2: Convert to fraction form
    1,850.14/2,775.19 = 754.25/x
  3. Step 3: Cross multiply
    1,850.14x = 2,775.19 × 754.25
  4. Step 4: Simplify right side
    1,850.14x = 2,093,187.06
  5. Step 5: Solve for x
    x = 2,093,187.06/1,850.14
  6. Step 6: Final answer
    x = 1,131.37

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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.