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Finding the Fourth Proportional to 2,347.52, 3,238.26 and 1,601.24

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Solution

The fourth proportional to 2,347.52, 3,238.26 and 1,601.24 is: 2,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.52 : 3,238.26 = 1,601.24 : x
  2. Step 2: Convert to fraction form
    2,347.52/3,238.26 = 1,601.24/x
  3. Step 3: Cross multiply
    2,347.52x = 3,238.26 × 1,601.24
  4. Step 4: Simplify right side
    2,347.52x = 5,185,231.44
  5. Step 5: Solve for x
    x = 5,185,231.44/2,347.52
  6. Step 6: Final answer
    x = 2,208.81

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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.