Home / 1,982.36-2,735.67-1,098.22

Finding the Fourth Proportional to 1,982.36, 2,735.67 and 1,098.22

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Solution

The fourth proportional to 1,982.36, 2,735.67 and 1,098.22 is: 1,515.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.36 : 2,735.67 = 1,098.22 : x
  2. Step 2: Convert to fraction form
    1,982.36/2,735.67 = 1,098.22/x
  3. Step 3: Cross multiply
    1,982.36x = 2,735.67 × 1,098.22
  4. Step 4: Simplify right side
    1,982.36x = 3,004,367.51
  5. Step 5: Solve for x
    x = 3,004,367.51/1,982.36
  6. Step 6: Final answer
    x = 1,515.55

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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.