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Finding the Fourth Proportional to 2,811.91, 3,879.62 and 1,616.71

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Solution

The fourth proportional to 2,811.91, 3,879.62 and 1,616.71 is: 2,230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.91 : 3,879.62 = 1,616.71 : x
  2. Step 2: Convert to fraction form
    2,811.91/3,879.62 = 1,616.71/x
  3. Step 3: Cross multiply
    2,811.91x = 3,879.62 × 1,616.71
  4. Step 4: Simplify right side
    2,811.91x = 6,272,212.37
  5. Step 5: Solve for x
    x = 6,272,212.37/2,811.91
  6. Step 6: Final answer
    x = 2,230.59

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1.5x scale

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.