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Finding the Fourth Proportional to 3,193.25, 4,406.91 and 1,796

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Solution

The fourth proportional to 3,193.25, 4,406.91 and 1,796 is: 2,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.25 : 4,406.91 = 1,796 : x
  2. Step 2: Convert to fraction form
    3,193.25/4,406.91 = 1,796/x
  3. Step 3: Cross multiply
    3,193.25x = 4,406.91 × 1,796
  4. Step 4: Simplify right side
    3,193.25x = 7,914,810.36
  5. Step 5: Solve for x
    x = 7,914,810.36/3,193.25
  6. Step 6: Final answer
    x = 2,478.61

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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.