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Finding the Fourth Proportional to 2,171.87, 3,257.81 and 528.41

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Solution

The fourth proportional to 2,171.87, 3,257.81 and 528.41 is: 792.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.87 : 3,257.81 = 528.41 : x
  2. Step 2: Convert to fraction form
    2,171.87/3,257.81 = 528.41/x
  3. Step 3: Cross multiply
    2,171.87x = 3,257.81 × 528.41
  4. Step 4: Simplify right side
    2,171.87x = 1,721,459.38
  5. Step 5: Solve for x
    x = 1,721,459.38/2,171.87
  6. Step 6: Final answer
    x = 792.62

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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.