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Finding the Fourth Proportional to 2,813.55, 3,882.56 and 1,571.55

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Solution

The fourth proportional to 2,813.55, 3,882.56 and 1,571.55 is: 2,168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.55 : 3,882.56 = 1,571.55 : x
  2. Step 2: Convert to fraction form
    2,813.55/3,882.56 = 1,571.55/x
  3. Step 3: Cross multiply
    2,813.55x = 3,882.56 × 1,571.55
  4. Step 4: Simplify right side
    2,813.55x = 6,101,629.31
  5. Step 5: Solve for x
    x = 6,101,629.31/2,813.55
  6. Step 6: Final answer
    x = 2,168.66

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