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Finding the Fourth Proportional to 2,922.69, 4,383.55 and 842.61

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Solution

The fourth proportional to 2,922.69, 4,383.55 and 842.61 is: 1,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.69 : 4,383.55 = 842.61 : x
  2. Step 2: Convert to fraction form
    2,922.69/4,383.55 = 842.61/x
  3. Step 3: Cross multiply
    2,922.69x = 4,383.55 × 842.61
  4. Step 4: Simplify right side
    2,922.69x = 3,693,623.07
  5. Step 5: Solve for x
    x = 3,693,623.07/2,922.69
  6. Step 6: Final answer
    x = 1,263.78

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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.