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Finding the Fourth Proportional to 2,441.78, 3,662.60 and 980.54

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Solution

The fourth proportional to 2,441.78, 3,662.60 and 980.54 is: 1,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.78 : 3,662.60 = 980.54 : x
  2. Step 2: Convert to fraction form
    2,441.78/3,662.60 = 980.54/x
  3. Step 3: Cross multiply
    2,441.78x = 3,662.60 × 980.54
  4. Step 4: Simplify right side
    2,441.78x = 3,591,302.59
  5. Step 5: Solve for x
    x = 3,591,302.59/2,441.78
  6. Step 6: Final answer
    x = 1,470.78

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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.