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Finding the Fourth Proportional to 1,601.08, 2,403.92 and 1,328.92

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Solution

The fourth proportional to 1,601.08, 2,403.92 and 1,328.92 is: 1,995.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.08 : 2,403.92 = 1,328.92 : x
  2. Step 2: Convert to fraction form
    1,601.08/2,403.92 = 1,328.92/x
  3. Step 3: Cross multiply
    1,601.08x = 2,403.92 × 1,328.92
  4. Step 4: Simplify right side
    1,601.08x = 3,194,617.37
  5. Step 5: Solve for x
    x = 3,194,617.37/1,601.08
  6. Step 6: Final answer
    x = 1,995.29

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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.