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Finding the Fourth Proportional to 2,823.54, 3,896.96 and 1,645.31

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Solution

The fourth proportional to 2,823.54, 3,896.96 and 1,645.31 is: 2,270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.54 : 3,896.96 = 1,645.31 : x
  2. Step 2: Convert to fraction form
    2,823.54/3,896.96 = 1,645.31/x
  3. Step 3: Cross multiply
    2,823.54x = 3,896.96 × 1,645.31
  4. Step 4: Simplify right side
    2,823.54x = 6,411,707.26
  5. Step 5: Solve for x
    x = 6,411,707.26/2,823.54
  6. Step 6: Final answer
    x = 2,270.80

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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.