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Finding the Fourth Proportional to 1,977.86, 2,965.42 and 1,198.06

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Solution

The fourth proportional to 1,977.86, 2,965.42 and 1,198.06 is: 1,796.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.86 : 2,965.42 = 1,198.06 : x
  2. Step 2: Convert to fraction form
    1,977.86/2,965.42 = 1,198.06/x
  3. Step 3: Cross multiply
    1,977.86x = 2,965.42 × 1,198.06
  4. Step 4: Simplify right side
    1,977.86x = 3,552,751.09
  5. Step 5: Solve for x
    x = 3,552,751.09/1,977.86
  6. Step 6: Final answer
    x = 1,796.26

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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.