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Finding the Fourth Proportional to 2,813.52, 3,882.64 and 1,571.52

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Solution

The fourth proportional to 2,813.52, 3,882.64 and 1,571.52 is: 2,168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.52 : 3,882.64 = 1,571.52 : x
  2. Step 2: Convert to fraction form
    2,813.52/3,882.64 = 1,571.52/x
  3. Step 3: Cross multiply
    2,813.52x = 3,882.64 × 1,571.52
  4. Step 4: Simplify right side
    2,813.52x = 6,101,646.41
  5. Step 5: Solve for x
    x = 6,101,646.41/2,813.52
  6. Step 6: Final answer
    x = 2,168.69

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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.