Home / 1,954.16-2,696.48-1,198.28

Finding the Fourth Proportional to 1,954.16, 2,696.48 and 1,198.28

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Solution

The fourth proportional to 1,954.16, 2,696.48 and 1,198.28 is: 1,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.16 : 2,696.48 = 1,198.28 : x
  2. Step 2: Convert to fraction form
    1,954.16/2,696.48 = 1,198.28/x
  3. Step 3: Cross multiply
    1,954.16x = 2,696.48 × 1,198.28
  4. Step 4: Simplify right side
    1,954.16x = 3,231,134.31
  5. Step 5: Solve for x
    x = 3,231,134.31/1,954.16
  6. Step 6: Final answer
    x = 1,653.46

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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.