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Finding the Fourth Proportional to 2,812.73, 3,883.22 and 1,929.83

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Solution

The fourth proportional to 2,812.73, 3,883.22 and 1,929.83 is: 2,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.73 : 3,883.22 = 1,929.83 : x
  2. Step 2: Convert to fraction form
    2,812.73/3,883.22 = 1,929.83/x
  3. Step 3: Cross multiply
    2,812.73x = 3,883.22 × 1,929.83
  4. Step 4: Simplify right side
    2,812.73x = 7,493,925.39
  5. Step 5: Solve for x
    x = 7,493,925.39/2,812.73
  6. Step 6: Final answer
    x = 2,664.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.