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Finding the Fourth Proportional to 2,813.88, 3,883.16 and 1,571.88

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Solution

The fourth proportional to 2,813.88, 3,883.16 and 1,571.88 is: 2,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.88 : 3,883.16 = 1,571.88 : x
  2. Step 2: Convert to fraction form
    2,813.88/3,883.16 = 1,571.88/x
  3. Step 3: Cross multiply
    2,813.88x = 3,883.16 × 1,571.88
  4. Step 4: Simplify right side
    2,813.88x = 6,103,861.54
  5. Step 5: Solve for x
    x = 6,103,861.54/2,813.88
  6. Step 6: Final answer
    x = 2,169.20

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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.