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Finding the Fourth Proportional to 3,192.49, 4,406.25 and 1,998.03

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Solution

The fourth proportional to 3,192.49, 4,406.25 and 1,998.03 is: 2,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.49 : 4,406.25 = 1,998.03 : x
  2. Step 2: Convert to fraction form
    3,192.49/4,406.25 = 1,998.03/x
  3. Step 3: Cross multiply
    3,192.49x = 4,406.25 × 1,998.03
  4. Step 4: Simplify right side
    3,192.49x = 8,803,822.71
  5. Step 5: Solve for x
    x = 8,803,822.71/3,192.49
  6. Step 6: Final answer
    x = 2,757.66

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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.