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Finding the Fourth Proportional to 2,441.56, 3,662.45 and 980.59

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Solution

The fourth proportional to 2,441.56, 3,662.45 and 980.59 is: 1,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.56 : 3,662.45 = 980.59 : x
  2. Step 2: Convert to fraction form
    2,441.56/3,662.45 = 980.59/x
  3. Step 3: Cross multiply
    2,441.56x = 3,662.45 × 980.59
  4. Step 4: Simplify right side
    2,441.56x = 3,591,361.85
  5. Step 5: Solve for x
    x = 3,591,361.85/2,441.56
  6. Step 6: Final answer
    x = 1,470.93

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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.