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Finding the Fourth Proportional to 1,896.08, 2,844.20 and 923

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Solution

The fourth proportional to 1,896.08, 2,844.20 and 923 is: 1,384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.08 : 2,844.20 = 923 : x
  2. Step 2: Convert to fraction form
    1,896.08/2,844.20 = 923/x
  3. Step 3: Cross multiply
    1,896.08x = 2,844.20 × 923
  4. Step 4: Simplify right side
    1,896.08x = 2,625,196.60
  5. Step 5: Solve for x
    x = 2,625,196.60/1,896.08
  6. Step 6: Final answer
    x = 1,384.54

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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.