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Finding the Fourth Proportional to 2,589.60, 3,576.20 and 1,647.17

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Solution

The fourth proportional to 2,589.60, 3,576.20 and 1,647.17 is: 2,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.60 : 3,576.20 = 1,647.17 : x
  2. Step 2: Convert to fraction form
    2,589.60/3,576.20 = 1,647.17/x
  3. Step 3: Cross multiply
    2,589.60x = 3,576.20 × 1,647.17
  4. Step 4: Simplify right side
    2,589.60x = 5,890,583.24
  5. Step 5: Solve for x
    x = 5,890,583.24/2,589.60
  6. Step 6: Final answer
    x = 2,274.71

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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.