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Finding the Fourth Proportional to 1,761.73, 2,644.32 and 1,471.09

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Solution

The fourth proportional to 1,761.73, 2,644.32 and 1,471.09 is: 2,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.73 : 2,644.32 = 1,471.09 : x
  2. Step 2: Convert to fraction form
    1,761.73/2,644.32 = 1,471.09/x
  3. Step 3: Cross multiply
    1,761.73x = 2,644.32 × 1,471.09
  4. Step 4: Simplify right side
    1,761.73x = 3,890,032.71
  5. Step 5: Solve for x
    x = 3,890,032.71/1,761.73
  6. Step 6: Final answer
    x = 2,208.08

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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.