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Finding the Fourth Proportional to 2,729.79, 3,767.67 and 1,610.30

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Solution

The fourth proportional to 2,729.79, 3,767.67 and 1,610.30 is: 2,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.79 : 3,767.67 = 1,610.30 : x
  2. Step 2: Convert to fraction form
    2,729.79/3,767.67 = 1,610.30/x
  3. Step 3: Cross multiply
    2,729.79x = 3,767.67 × 1,610.30
  4. Step 4: Simplify right side
    2,729.79x = 6,067,060.16
  5. Step 5: Solve for x
    x = 6,067,060.16/2,729.79
  6. Step 6: Final answer
    x = 2,222.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.