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Finding the Fourth Proportional to 2,743.57, 4,115.49 and 1,573.26

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Solution

The fourth proportional to 2,743.57, 4,115.49 and 1,573.26 is: 2,359.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.57 : 4,115.49 = 1,573.26 : x
  2. Step 2: Convert to fraction form
    2,743.57/4,115.49 = 1,573.26/x
  3. Step 3: Cross multiply
    2,743.57x = 4,115.49 × 1,573.26
  4. Step 4: Simplify right side
    2,743.57x = 6,474,711.29
  5. Step 5: Solve for x
    x = 6,474,711.29/2,743.57
  6. Step 6: Final answer
    x = 2,359.96

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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.