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Finding the Fourth Proportional to 2,033.92, 3,050.64 and 1,601.20

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Solution

The fourth proportional to 2,033.92, 3,050.64 and 1,601.20 is: 2,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.92 : 3,050.64 = 1,601.20 : x
  2. Step 2: Convert to fraction form
    2,033.92/3,050.64 = 1,601.20/x
  3. Step 3: Cross multiply
    2,033.92x = 3,050.64 × 1,601.20
  4. Step 4: Simplify right side
    2,033.92x = 4,884,684.77
  5. Step 5: Solve for x
    x = 4,884,684.77/2,033.92
  6. Step 6: Final answer
    x = 2,401.61

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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.