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Finding the Fourth Proportional to 2,171.28, 3,256.91 and 527.82

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Solution

The fourth proportional to 2,171.28, 3,256.91 and 527.82 is: 791.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.28 : 3,256.91 = 527.82 : x
  2. Step 2: Convert to fraction form
    2,171.28/3,256.91 = 527.82/x
  3. Step 3: Cross multiply
    2,171.28x = 3,256.91 × 527.82
  4. Step 4: Simplify right side
    2,171.28x = 1,719,059.60
  5. Step 5: Solve for x
    x = 1,719,059.60/2,171.28
  6. Step 6: Final answer
    x = 791.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.