Home / 1,982.34-2,735.64-1,098.20

Finding the Fourth Proportional to 1,982.34, 2,735.64 and 1,098.20

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Solution

The fourth proportional to 1,982.34, 2,735.64 and 1,098.20 is: 1,515.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.34 : 2,735.64 = 1,098.20 : x
  2. Step 2: Convert to fraction form
    1,982.34/2,735.64 = 1,098.20/x
  3. Step 3: Cross multiply
    1,982.34x = 2,735.64 × 1,098.20
  4. Step 4: Simplify right side
    1,982.34x = 3,004,282.57
  5. Step 5: Solve for x
    x = 3,004,282.57/1,982.34
  6. Step 6: Final answer
    x = 1,515.52

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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.