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Finding the Fourth Proportional to 2,361.87, 3,540.19 and 974.44

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Solution

The fourth proportional to 2,361.87, 3,540.19 and 974.44 is: 1,460.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.87 : 3,540.19 = 974.44 : x
  2. Step 2: Convert to fraction form
    2,361.87/3,540.19 = 974.44/x
  3. Step 3: Cross multiply
    2,361.87x = 3,540.19 × 974.44
  4. Step 4: Simplify right side
    2,361.87x = 3,449,702.74
  5. Step 5: Solve for x
    x = 3,449,702.74/2,361.87
  6. Step 6: Final answer
    x = 1,460.58

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Why These Related Problems?

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