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Finding the Fourth Proportional to 2,171.25, 2,998.80 and 1,471.41

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Solution

The fourth proportional to 2,171.25, 2,998.80 and 1,471.41 is: 2,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.25 : 2,998.80 = 1,471.41 : x
  2. Step 2: Convert to fraction form
    2,171.25/2,998.80 = 1,471.41/x
  3. Step 3: Cross multiply
    2,171.25x = 2,998.80 × 1,471.41
  4. Step 4: Simplify right side
    2,171.25x = 4,412,464.31
  5. Step 5: Solve for x
    x = 4,412,464.31/2,171.25
  6. Step 6: Final answer
    x = 2,032.22

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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.