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Finding the Fourth Proportional to 2,055.67, 3,082.02 and 668.23

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Solution

The fourth proportional to 2,055.67, 3,082.02 and 668.23 is: 1,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.67 : 3,082.02 = 668.23 : x
  2. Step 2: Convert to fraction form
    2,055.67/3,082.02 = 668.23/x
  3. Step 3: Cross multiply
    2,055.67x = 3,082.02 × 668.23
  4. Step 4: Simplify right side
    2,055.67x = 2,059,498.22
  5. Step 5: Solve for x
    x = 2,059,498.22/2,055.67
  6. Step 6: Final answer
    x = 1,001.86

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