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Finding the Fourth Proportional to 2,325.92, 3,213.98 and 1,661.61

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Solution

The fourth proportional to 2,325.92, 3,213.98 and 1,661.61 is: 2,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.92 : 3,213.98 = 1,661.61 : x
  2. Step 2: Convert to fraction form
    2,325.92/3,213.98 = 1,661.61/x
  3. Step 3: Cross multiply
    2,325.92x = 3,213.98 × 1,661.61
  4. Step 4: Simplify right side
    2,325.92x = 5,340,391.28
  5. Step 5: Solve for x
    x = 5,340,391.28/2,325.92
  6. Step 6: Final answer
    x = 2,296.04

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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.