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Finding the Fourth Proportional to 2,074.22, 3,112.41 and 842.54

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Solution

The fourth proportional to 2,074.22, 3,112.41 and 842.54 is: 1,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.22 : 3,112.41 = 842.54 : x
  2. Step 2: Convert to fraction form
    2,074.22/3,112.41 = 842.54/x
  3. Step 3: Cross multiply
    2,074.22x = 3,112.41 × 842.54
  4. Step 4: Simplify right side
    2,074.22x = 2,622,329.92
  5. Step 5: Solve for x
    x = 2,622,329.92/2,074.22
  6. Step 6: Final answer
    x = 1,264.25

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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.