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Finding the Fourth Proportional to 1,923, 2,878.12 and 1,193.20

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Solution

The fourth proportional to 1,923, 2,878.12 and 1,193.20 is: 1,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923 : 2,878.12 = 1,193.20 : x
  2. Step 2: Convert to fraction form
    1,923/2,878.12 = 1,193.20/x
  3. Step 3: Cross multiply
    1,923x = 2,878.12 × 1,193.20
  4. Step 4: Simplify right side
    1,923x = 3,434,172.78
  5. Step 5: Solve for x
    x = 3,434,172.78/1,923
  6. Step 6: Final answer
    x = 1,785.84

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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.