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Finding the Fourth Proportional to 2,485.26, 3,729.60 and 926.68

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Solution

The fourth proportional to 2,485.26, 3,729.60 and 926.68 is: 1,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.26 : 3,729.60 = 926.68 : x
  2. Step 2: Convert to fraction form
    2,485.26/3,729.60 = 926.68/x
  3. Step 3: Cross multiply
    2,485.26x = 3,729.60 × 926.68
  4. Step 4: Simplify right side
    2,485.26x = 3,456,145.73
  5. Step 5: Solve for x
    x = 3,456,145.73/2,485.26
  6. Step 6: Final answer
    x = 1,390.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.