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Finding the Fourth Proportional to 1,896.52, 2,844.72 and 923.26

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Solution

The fourth proportional to 1,896.52, 2,844.72 and 923.26 is: 1,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.52 : 2,844.72 = 923.26 : x
  2. Step 2: Convert to fraction form
    1,896.52/2,844.72 = 923.26/x
  3. Step 3: Cross multiply
    1,896.52x = 2,844.72 × 923.26
  4. Step 4: Simplify right side
    1,896.52x = 2,626,416.19
  5. Step 5: Solve for x
    x = 2,626,416.19/1,896.52
  6. Step 6: Final answer
    x = 1,384.86

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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.