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Finding the Fourth Proportional to 2,063.52, 3,093.75 and 967.23

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Solution

The fourth proportional to 2,063.52, 3,093.75 and 967.23 is: 1,450.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.52 : 3,093.75 = 967.23 : x
  2. Step 2: Convert to fraction form
    2,063.52/3,093.75 = 967.23/x
  3. Step 3: Cross multiply
    2,063.52x = 3,093.75 × 967.23
  4. Step 4: Simplify right side
    2,063.52x = 2,992,367.81
  5. Step 5: Solve for x
    x = 2,992,367.81/2,063.52
  6. Step 6: Final answer
    x = 1,450.13

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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.