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Finding the Fourth Proportional to 1,922.29, 2,883.43 and 1,375.54

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Solution

The fourth proportional to 1,922.29, 2,883.43 and 1,375.54 is: 2,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.29 : 2,883.43 = 1,375.54 : x
  2. Step 2: Convert to fraction form
    1,922.29/2,883.43 = 1,375.54/x
  3. Step 3: Cross multiply
    1,922.29x = 2,883.43 × 1,375.54
  4. Step 4: Simplify right side
    1,922.29x = 3,966,262.65
  5. Step 5: Solve for x
    x = 3,966,262.65/1,922.29
  6. Step 6: Final answer
    x = 2,063.30

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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.