Home / 2,177.06-3,266.44-1,022

Finding the Fourth Proportional to 2,177.06, 3,266.44 and 1,022

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Solution

The fourth proportional to 2,177.06, 3,266.44 and 1,022 is: 1,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.06 : 3,266.44 = 1,022 : x
  2. Step 2: Convert to fraction form
    2,177.06/3,266.44 = 1,022/x
  3. Step 3: Cross multiply
    2,177.06x = 3,266.44 × 1,022
  4. Step 4: Simplify right side
    2,177.06x = 3,338,301.68
  5. Step 5: Solve for x
    x = 3,338,301.68/2,177.06
  6. Step 6: Final answer
    x = 1,533.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.