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Finding the Fourth Proportional to 2,729.40, 3,763.60 and 1,843.67

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Solution

The fourth proportional to 2,729.40, 3,763.60 and 1,843.67 is: 2,542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.40 : 3,763.60 = 1,843.67 : x
  2. Step 2: Convert to fraction form
    2,729.40/3,763.60 = 1,843.67/x
  3. Step 3: Cross multiply
    2,729.40x = 3,763.60 × 1,843.67
  4. Step 4: Simplify right side
    2,729.40x = 6,938,812.98
  5. Step 5: Solve for x
    x = 6,938,812.98/2,729.40
  6. Step 6: Final answer
    x = 2,542.25

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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.