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Finding the Fourth Proportional to 2,361.63, 3,542.88 and 974.70

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Solution

The fourth proportional to 2,361.63, 3,542.88 and 974.70 is: 1,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.63 : 3,542.88 = 974.70 : x
  2. Step 2: Convert to fraction form
    2,361.63/3,542.88 = 974.70/x
  3. Step 3: Cross multiply
    2,361.63x = 3,542.88 × 974.70
  4. Step 4: Simplify right side
    2,361.63x = 3,453,245.14
  5. Step 5: Solve for x
    x = 3,453,245.14/2,361.63
  6. Step 6: Final answer
    x = 1,462.23

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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.