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Finding the Fourth Proportional to 2,135.70, 3,204.36 and 965.37

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Solution

The fourth proportional to 2,135.70, 3,204.36 and 965.37 is: 1,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.70 : 3,204.36 = 965.37 : x
  2. Step 2: Convert to fraction form
    2,135.70/3,204.36 = 965.37/x
  3. Step 3: Cross multiply
    2,135.70x = 3,204.36 × 965.37
  4. Step 4: Simplify right side
    2,135.70x = 3,093,393.01
  5. Step 5: Solve for x
    x = 3,093,393.01/2,135.70
  6. Step 6: Final answer
    x = 1,448.42

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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.