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Finding the Fourth Proportional to 3,072.71, 4,607.75 and 1,171.78

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Solution

The fourth proportional to 3,072.71, 4,607.75 and 1,171.78 is: 1,757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.71 : 4,607.75 = 1,171.78 : x
  2. Step 2: Convert to fraction form
    3,072.71/4,607.75 = 1,171.78/x
  3. Step 3: Cross multiply
    3,072.71x = 4,607.75 × 1,171.78
  4. Step 4: Simplify right side
    3,072.71x = 5,399,269.30
  5. Step 5: Solve for x
    x = 5,399,269.30/3,072.71
  6. Step 6: Final answer
    x = 1,757.17

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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.