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Finding the Fourth Proportional to 2,055.26, 3,082.26 and 822.02

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Solution

The fourth proportional to 2,055.26, 3,082.26 and 822.02 is: 1,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.26 : 3,082.26 = 822.02 : x
  2. Step 2: Convert to fraction form
    2,055.26/3,082.26 = 822.02/x
  3. Step 3: Cross multiply
    2,055.26x = 3,082.26 × 822.02
  4. Step 4: Simplify right side
    2,055.26x = 2,533,679.37
  5. Step 5: Solve for x
    x = 2,533,679.37/2,055.26
  6. Step 6: Final answer
    x = 1,232.78

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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.