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Finding the Fourth Proportional to 2,729.98, 3,767.26 and 1,610.96

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Solution

The fourth proportional to 2,729.98, 3,767.26 and 1,610.96 is: 2,223.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.98 : 3,767.26 = 1,610.96 : x
  2. Step 2: Convert to fraction form
    2,729.98/3,767.26 = 1,610.96/x
  3. Step 3: Cross multiply
    2,729.98x = 3,767.26 × 1,610.96
  4. Step 4: Simplify right side
    2,729.98x = 6,068,905.17
  5. Step 5: Solve for x
    x = 6,068,905.17/2,729.98
  6. Step 6: Final answer
    x = 2,223.06

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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.