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Finding the Fourth Proportional to 1,571.86, 2,169.07 and 863.65

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Solution

The fourth proportional to 1,571.86, 2,169.07 and 863.65 is: 1,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.86 : 2,169.07 = 863.65 : x
  2. Step 2: Convert to fraction form
    1,571.86/2,169.07 = 863.65/x
  3. Step 3: Cross multiply
    1,571.86x = 2,169.07 × 863.65
  4. Step 4: Simplify right side
    1,571.86x = 1,873,309.72
  5. Step 5: Solve for x
    x = 1,873,309.72/1,571.86
  6. Step 6: Final answer
    x = 1,191.78

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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.