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Finding the Fourth Proportional to 2,336.82, 3,505.23 and 605.43

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Solution

The fourth proportional to 2,336.82, 3,505.23 and 605.43 is: 908.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.82 : 3,505.23 = 605.43 : x
  2. Step 2: Convert to fraction form
    2,336.82/3,505.23 = 605.43/x
  3. Step 3: Cross multiply
    2,336.82x = 3,505.23 × 605.43
  4. Step 4: Simplify right side
    2,336.82x = 2,122,171.40
  5. Step 5: Solve for x
    x = 2,122,171.40/2,336.82
  6. Step 6: Final answer
    x = 908.15

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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.