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Finding the Fourth Proportional to 1,983.38, 2,974.32 and 1,592.42

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Solution

The fourth proportional to 1,983.38, 2,974.32 and 1,592.42 is: 2,388.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.38 : 2,974.32 = 1,592.42 : x
  2. Step 2: Convert to fraction form
    1,983.38/2,974.32 = 1,592.42/x
  3. Step 3: Cross multiply
    1,983.38x = 2,974.32 × 1,592.42
  4. Step 4: Simplify right side
    1,983.38x = 4,736,351.78
  5. Step 5: Solve for x
    x = 4,736,351.78/1,983.38
  6. Step 6: Final answer
    x = 2,388.03

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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.