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Finding the Fourth Proportional to 2,823.92, 3,896.94 and 1,645.22

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Solution

The fourth proportional to 2,823.92, 3,896.94 and 1,645.22 is: 2,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.92 : 3,896.94 = 1,645.22 : x
  2. Step 2: Convert to fraction form
    2,823.92/3,896.94 = 1,645.22/x
  3. Step 3: Cross multiply
    2,823.92x = 3,896.94 × 1,645.22
  4. Step 4: Simplify right side
    2,823.92x = 6,411,323.63
  5. Step 5: Solve for x
    x = 6,411,323.63/2,823.92
  6. Step 6: Final answer
    x = 2,270.36

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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.