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Finding the Fourth Proportional to 2,729.72, 3,767.60 and 1,610.26

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Solution

The fourth proportional to 2,729.72, 3,767.60 and 1,610.26 is: 2,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.72 : 3,767.60 = 1,610.26 : x
  2. Step 2: Convert to fraction form
    2,729.72/3,767.60 = 1,610.26/x
  3. Step 3: Cross multiply
    2,729.72x = 3,767.60 × 1,610.26
  4. Step 4: Simplify right side
    2,729.72x = 6,066,815.58
  5. Step 5: Solve for x
    x = 6,066,815.58/2,729.72
  6. Step 6: Final answer
    x = 2,222.50

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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.