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Finding the Fourth Proportional to 2,171.71, 3,251.37 and 1,728.84

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Solution

The fourth proportional to 2,171.71, 3,251.37 and 1,728.84 is: 2,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.71 : 3,251.37 = 1,728.84 : x
  2. Step 2: Convert to fraction form
    2,171.71/3,251.37 = 1,728.84/x
  3. Step 3: Cross multiply
    2,171.71x = 3,251.37 × 1,728.84
  4. Step 4: Simplify right side
    2,171.71x = 5,621,117.19
  5. Step 5: Solve for x
    x = 5,621,117.19/2,171.71
  6. Step 6: Final answer
    x = 2,588.34

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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.