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Finding the Fourth Proportional to 2,054.88, 3,082.49 and 667.86

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Solution

The fourth proportional to 2,054.88, 3,082.49 and 667.86 is: 1,001.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.88 : 3,082.49 = 667.86 : x
  2. Step 2: Convert to fraction form
    2,054.88/3,082.49 = 667.86/x
  3. Step 3: Cross multiply
    2,054.88x = 3,082.49 × 667.86
  4. Step 4: Simplify right side
    2,054.88x = 2,058,673.44
  5. Step 5: Solve for x
    x = 2,058,673.44/2,054.88
  6. Step 6: Final answer
    x = 1,001.84

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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.