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Finding the Fourth Proportional to 1,894.02, 2,835.08 and 1,198.27

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Solution

The fourth proportional to 1,894.02, 2,835.08 and 1,198.27 is: 1,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.02 : 2,835.08 = 1,198.27 : x
  2. Step 2: Convert to fraction form
    1,894.02/2,835.08 = 1,198.27/x
  3. Step 3: Cross multiply
    1,894.02x = 2,835.08 × 1,198.27
  4. Step 4: Simplify right side
    1,894.02x = 3,397,191.31
  5. Step 5: Solve for x
    x = 3,397,191.31/1,894.02
  6. Step 6: Final answer
    x = 1,793.64

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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.