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Finding the Fourth Proportional to 1,755.63, 2,634.62 and 1,171.29

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Solution

The fourth proportional to 1,755.63, 2,634.62 and 1,171.29 is: 1,757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.63 : 2,634.62 = 1,171.29 : x
  2. Step 2: Convert to fraction form
    1,755.63/2,634.62 = 1,171.29/x
  3. Step 3: Cross multiply
    1,755.63x = 2,634.62 × 1,171.29
  4. Step 4: Simplify right side
    1,755.63x = 3,085,898.20
  5. Step 5: Solve for x
    x = 3,085,898.20/1,755.63
  6. Step 6: Final answer
    x = 1,757.72

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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.