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Finding the Fourth Proportional to 2,841, 4,258.67 and 1,198.46

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Solution

The fourth proportional to 2,841, 4,258.67 and 1,198.46 is: 1,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841 : 4,258.67 = 1,198.46 : x
  2. Step 2: Convert to fraction form
    2,841/4,258.67 = 1,198.46/x
  3. Step 3: Cross multiply
    2,841x = 4,258.67 × 1,198.46
  4. Step 4: Simplify right side
    2,841x = 5,103,818.36
  5. Step 5: Solve for x
    x = 5,103,818.36/2,841
  6. Step 6: Final answer
    x = 1,796.49

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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.