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Finding the Fourth Proportional to 3,192.67, 4,406.31 and 1,795.69

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Solution

The fourth proportional to 3,192.67, 4,406.31 and 1,795.69 is: 2,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.67 : 4,406.31 = 1,795.69 : x
  2. Step 2: Convert to fraction form
    3,192.67/4,406.31 = 1,795.69/x
  3. Step 3: Cross multiply
    3,192.67x = 4,406.31 × 1,795.69
  4. Step 4: Simplify right side
    3,192.67x = 7,912,366.80
  5. Step 5: Solve for x
    x = 7,912,366.80/3,192.67
  6. Step 6: Final answer
    x = 2,478.29

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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.