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Finding the Fourth Proportional to 1,963.89, 2,943.55 and 923.24

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Solution

The fourth proportional to 1,963.89, 2,943.55 and 923.24 is: 1,383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.89 : 2,943.55 = 923.24 : x
  2. Step 2: Convert to fraction form
    1,963.89/2,943.55 = 923.24/x
  3. Step 3: Cross multiply
    1,963.89x = 2,943.55 × 923.24
  4. Step 4: Simplify right side
    1,963.89x = 2,717,608.15
  5. Step 5: Solve for x
    x = 2,717,608.15/1,963.89
  6. Step 6: Final answer
    x = 1,383.79

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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.