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Finding the Fourth Proportional to 2,019.48, 3,027.68 and 923.08

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Solution

The fourth proportional to 2,019.48, 3,027.68 and 923.08 is: 1,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.48 : 3,027.68 = 923.08 : x
  2. Step 2: Convert to fraction form
    2,019.48/3,027.68 = 923.08/x
  3. Step 3: Cross multiply
    2,019.48x = 3,027.68 × 923.08
  4. Step 4: Simplify right side
    2,019.48x = 2,794,786.24
  5. Step 5: Solve for x
    x = 2,794,786.24/2,019.48
  6. Step 6: Final answer
    x = 1,383.91

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1.5x scale

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.