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Finding the Fourth Proportional to 3,189.69, 4,401.57 and 1,773.27

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Solution

The fourth proportional to 3,189.69, 4,401.57 and 1,773.27 is: 2,447.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.69 : 4,401.57 = 1,773.27 : x
  2. Step 2: Convert to fraction form
    3,189.69/4,401.57 = 1,773.27/x
  3. Step 3: Cross multiply
    3,189.69x = 4,401.57 × 1,773.27
  4. Step 4: Simplify right side
    3,189.69x = 7,805,172.03
  5. Step 5: Solve for x
    x = 7,805,172.03/3,189.69
  6. Step 6: Final answer
    x = 2,447.00

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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.