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Finding the Fourth Proportional to 2,171.94, 3,258.72 and 938.86

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Solution

The fourth proportional to 2,171.94, 3,258.72 and 938.86 is: 1,408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.94 : 3,258.72 = 938.86 : x
  2. Step 2: Convert to fraction form
    2,171.94/3,258.72 = 938.86/x
  3. Step 3: Cross multiply
    2,171.94x = 3,258.72 × 938.86
  4. Step 4: Simplify right side
    2,171.94x = 3,059,481.86
  5. Step 5: Solve for x
    x = 3,059,481.86/2,171.94
  6. Step 6: Final answer
    x = 1,408.64

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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.