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Finding the Fourth Proportional to 2,171.31, 2,995.74 and 1,226.97

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Solution

The fourth proportional to 2,171.31, 2,995.74 and 1,226.97 is: 1,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.31 : 2,995.74 = 1,226.97 : x
  2. Step 2: Convert to fraction form
    2,171.31/2,995.74 = 1,226.97/x
  3. Step 3: Cross multiply
    2,171.31x = 2,995.74 × 1,226.97
  4. Step 4: Simplify right side
    2,171.31x = 3,675,683.11
  5. Step 5: Solve for x
    x = 3,675,683.11/2,171.31
  6. Step 6: Final answer
    x = 1,692.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.