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Finding the Fourth Proportional to 2,361.89, 3,540.24 and 974.47

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Solution

The fourth proportional to 2,361.89, 3,540.24 and 974.47 is: 1,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.89 : 3,540.24 = 974.47 : x
  2. Step 2: Convert to fraction form
    2,361.89/3,540.24 = 974.47/x
  3. Step 3: Cross multiply
    2,361.89x = 3,540.24 × 974.47
  4. Step 4: Simplify right side
    2,361.89x = 3,449,865.75
  5. Step 5: Solve for x
    x = 3,449,865.75/2,361.89
  6. Step 6: Final answer
    x = 1,460.64

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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.