Home / 1,982.53-2,735.75-1,098.36

Finding the Fourth Proportional to 1,982.53, 2,735.75 and 1,098.36

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Solution

The fourth proportional to 1,982.53, 2,735.75 and 1,098.36 is: 1,515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.53 : 2,735.75 = 1,098.36 : x
  2. Step 2: Convert to fraction form
    1,982.53/2,735.75 = 1,098.36/x
  3. Step 3: Cross multiply
    1,982.53x = 2,735.75 × 1,098.36
  4. Step 4: Simplify right side
    1,982.53x = 3,004,838.03
  5. Step 5: Solve for x
    x = 3,004,838.03/1,982.53
  6. Step 6: Final answer
    x = 1,515.66

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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.