Home / 2,142.26-2,956.46-1,198.06

Finding the Fourth Proportional to 2,142.26, 2,956.46 and 1,198.06

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Solution

The fourth proportional to 2,142.26, 2,956.46 and 1,198.06 is: 1,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.26 : 2,956.46 = 1,198.06 : x
  2. Step 2: Convert to fraction form
    2,142.26/2,956.46 = 1,198.06/x
  3. Step 3: Cross multiply
    2,142.26x = 2,956.46 × 1,198.06
  4. Step 4: Simplify right side
    2,142.26x = 3,542,016.47
  5. Step 5: Solve for x
    x = 3,542,016.47/2,142.26
  6. Step 6: Final answer
    x = 1,653.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.