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Finding the Fourth Proportional to 2,729.41, 3,763.59 and 1,843.67

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Solution

The fourth proportional to 2,729.41, 3,763.59 and 1,843.67 is: 2,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.41 : 3,763.59 = 1,843.67 : x
  2. Step 2: Convert to fraction form
    2,729.41/3,763.59 = 1,843.67/x
  3. Step 3: Cross multiply
    2,729.41x = 3,763.59 × 1,843.67
  4. Step 4: Simplify right side
    2,729.41x = 6,938,817.98
  5. Step 5: Solve for x
    x = 6,938,817.98/2,729.41
  6. Step 6: Final answer
    x = 2,542.24

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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.