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Finding the Fourth Proportional to 2,171.73, 3,257.56 and 528.28

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Solution

The fourth proportional to 2,171.73, 3,257.56 and 528.28 is: 792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.73 : 3,257.56 = 528.28 : x
  2. Step 2: Convert to fraction form
    2,171.73/3,257.56 = 528.28/x
  3. Step 3: Cross multiply
    2,171.73x = 3,257.56 × 528.28
  4. Step 4: Simplify right side
    2,171.73x = 1,720,903.80
  5. Step 5: Solve for x
    x = 1,720,903.80/2,171.73
  6. Step 6: Final answer
    x = 792.41

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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.