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Finding the Fourth Proportional to 2,811.12, 3,879.12 and 1,632.27

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Solution

The fourth proportional to 2,811.12, 3,879.12 and 1,632.27 is: 2,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.12 : 3,879.12 = 1,632.27 : x
  2. Step 2: Convert to fraction form
    2,811.12/3,879.12 = 1,632.27/x
  3. Step 3: Cross multiply
    2,811.12x = 3,879.12 × 1,632.27
  4. Step 4: Simplify right side
    2,811.12x = 6,331,771.20
  5. Step 5: Solve for x
    x = 6,331,771.20/2,811.12
  6. Step 6: Final answer
    x = 2,252.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.