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Finding the Fourth Proportional to 2,602.19, 3,896.79 and 2,171.27

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Solution

The fourth proportional to 2,602.19, 3,896.79 and 2,171.27 is: 3,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.19 : 3,896.79 = 2,171.27 : x
  2. Step 2: Convert to fraction form
    2,602.19/3,896.79 = 2,171.27/x
  3. Step 3: Cross multiply
    2,602.19x = 3,896.79 × 2,171.27
  4. Step 4: Simplify right side
    2,602.19x = 8,460,963.74
  5. Step 5: Solve for x
    x = 8,460,963.74/2,602.19
  6. Step 6: Final answer
    x = 3,251.48

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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.