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Finding the Fourth Proportional to 1,735.37, 2,601.23 and 1,077.24

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Solution

The fourth proportional to 1,735.37, 2,601.23 and 1,077.24 is: 1,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.37 : 2,601.23 = 1,077.24 : x
  2. Step 2: Convert to fraction form
    1,735.37/2,601.23 = 1,077.24/x
  3. Step 3: Cross multiply
    1,735.37x = 2,601.23 × 1,077.24
  4. Step 4: Simplify right side
    1,735.37x = 2,802,143.62
  5. Step 5: Solve for x
    x = 2,802,143.62/1,735.37
  6. Step 6: Final answer
    x = 1,614.73

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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.