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Finding the Fourth Proportional to 1,905.33, 2,862.79 and 1,212.31

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Solution

The fourth proportional to 1,905.33, 2,862.79 and 1,212.31 is: 1,821.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.33 : 2,862.79 = 1,212.31 : x
  2. Step 2: Convert to fraction form
    1,905.33/2,862.79 = 1,212.31/x
  3. Step 3: Cross multiply
    1,905.33x = 2,862.79 × 1,212.31
  4. Step 4: Simplify right side
    1,905.33x = 3,470,578.76
  5. Step 5: Solve for x
    x = 3,470,578.76/1,905.33
  6. Step 6: Final answer
    x = 1,821.51

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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.