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Finding the Fourth Proportional to 2,607.28, 3,906.36 and 2,171.34

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Solution

The fourth proportional to 2,607.28, 3,906.36 and 2,171.34 is: 3,253.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.28 : 3,906.36 = 2,171.34 : x
  2. Step 2: Convert to fraction form
    2,607.28/3,906.36 = 2,171.34/x
  3. Step 3: Cross multiply
    2,607.28x = 3,906.36 × 2,171.34
  4. Step 4: Simplify right side
    2,607.28x = 8,482,035.72
  5. Step 5: Solve for x
    x = 8,482,035.72/2,607.28
  6. Step 6: Final answer
    x = 3,253.21

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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.