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Finding the Fourth Proportional to 2,441.02, 3,661.76 and 797.73

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Solution

The fourth proportional to 2,441.02, 3,661.76 and 797.73 is: 1,196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.02 : 3,661.76 = 797.73 : x
  2. Step 2: Convert to fraction form
    2,441.02/3,661.76 = 797.73/x
  3. Step 3: Cross multiply
    2,441.02x = 3,661.76 × 797.73
  4. Step 4: Simplify right side
    2,441.02x = 2,921,100.18
  5. Step 5: Solve for x
    x = 2,921,100.18/2,441.02
  6. Step 6: Final answer
    x = 1,196.67

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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.