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Finding the Fourth Proportional to 1,922.90, 2,883.59 and 826.50

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Solution

The fourth proportional to 1,922.90, 2,883.59 and 826.50 is: 1,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.90 : 2,883.59 = 826.50 : x
  2. Step 2: Convert to fraction form
    1,922.90/2,883.59 = 826.50/x
  3. Step 3: Cross multiply
    1,922.90x = 2,883.59 × 826.50
  4. Step 4: Simplify right side
    1,922.90x = 2,383,287.14
  5. Step 5: Solve for x
    x = 2,383,287.14/1,922.90
  6. Step 6: Final answer
    x = 1,239.42

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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.