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Finding the Fourth Proportional to 2,171.63, 3,257.41 and 528.17

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Solution

The fourth proportional to 2,171.63, 3,257.41 and 528.17 is: 792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.63 : 3,257.41 = 528.17 : x
  2. Step 2: Convert to fraction form
    2,171.63/3,257.41 = 528.17/x
  3. Step 3: Cross multiply
    2,171.63x = 3,257.41 × 528.17
  4. Step 4: Simplify right side
    2,171.63x = 1,720,447.31
  5. Step 5: Solve for x
    x = 1,720,447.31/2,171.63
  6. Step 6: Final answer
    x = 792.24

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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.