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Finding the Fourth Proportional to 1,920.97, 2,881.42 and 622.44

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Solution

The fourth proportional to 1,920.97, 2,881.42 and 622.44 is: 933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.97 : 2,881.42 = 622.44 : x
  2. Step 2: Convert to fraction form
    1,920.97/2,881.42 = 622.44/x
  3. Step 3: Cross multiply
    1,920.97x = 2,881.42 × 622.44
  4. Step 4: Simplify right side
    1,920.97x = 1,793,511.06
  5. Step 5: Solve for x
    x = 1,793,511.06/1,920.97
  6. Step 6: Final answer
    x = 933.65

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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.