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Finding the Fourth Proportional to 2,405.70, 3,608.71 and 674.26

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Solution

The fourth proportional to 2,405.70, 3,608.71 and 674.26 is: 1,011.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.70 : 3,608.71 = 674.26 : x
  2. Step 2: Convert to fraction form
    2,405.70/3,608.71 = 674.26/x
  3. Step 3: Cross multiply
    2,405.70x = 3,608.71 × 674.26
  4. Step 4: Simplify right side
    2,405.70x = 2,433,208.80
  5. Step 5: Solve for x
    x = 2,433,208.80/2,405.70
  6. Step 6: Final answer
    x = 1,011.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.