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Finding the Fourth Proportional to 2,027.36, 3,027.36 and 2,005.92

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Solution

The fourth proportional to 2,027.36, 3,027.36 and 2,005.92 is: 2,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.36 : 3,027.36 = 2,005.92 : x
  2. Step 2: Convert to fraction form
    2,027.36/3,027.36 = 2,005.92/x
  3. Step 3: Cross multiply
    2,027.36x = 3,027.36 × 2,005.92
  4. Step 4: Simplify right side
    2,027.36x = 6,072,641.97
  5. Step 5: Solve for x
    x = 6,072,641.97/2,027.36
  6. Step 6: Final answer
    x = 2,995.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.