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Finding the Fourth Proportional to 2,763.92, 3,814.08 and 1,645.60

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Solution

The fourth proportional to 2,763.92, 3,814.08 and 1,645.60 is: 2,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.92 : 3,814.08 = 1,645.60 : x
  2. Step 2: Convert to fraction form
    2,763.92/3,814.08 = 1,645.60/x
  3. Step 3: Cross multiply
    2,763.92x = 3,814.08 × 1,645.60
  4. Step 4: Simplify right side
    2,763.92x = 6,276,450.05
  5. Step 5: Solve for x
    x = 6,276,450.05/2,763.92
  6. Step 6: Final answer
    x = 2,270.85

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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.