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Finding the Fourth Proportional to 2,361.18, 3,540.42 and 974.19

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Solution

The fourth proportional to 2,361.18, 3,540.42 and 974.19 is: 1,460.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.18 : 3,540.42 = 974.19 : x
  2. Step 2: Convert to fraction form
    2,361.18/3,540.42 = 974.19/x
  3. Step 3: Cross multiply
    2,361.18x = 3,540.42 × 974.19
  4. Step 4: Simplify right side
    2,361.18x = 3,449,041.76
  5. Step 5: Solve for x
    x = 3,449,041.76/2,361.18
  6. Step 6: Final answer
    x = 1,460.73

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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.