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Finding the Fourth Proportional to 2,294.01, 3,441.11 and 1,198.68

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Solution

The fourth proportional to 2,294.01, 3,441.11 and 1,198.68 is: 1,798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.01 : 3,441.11 = 1,198.68 : x
  2. Step 2: Convert to fraction form
    2,294.01/3,441.11 = 1,198.68/x
  3. Step 3: Cross multiply
    2,294.01x = 3,441.11 × 1,198.68
  4. Step 4: Simplify right side
    2,294.01x = 4,124,783.74
  5. Step 5: Solve for x
    x = 4,124,783.74/2,294.01
  6. Step 6: Final answer
    x = 1,798.07

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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.