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Finding the Fourth Proportional to 3,189.98, 4,402.27 and 1,931.27

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Solution

The fourth proportional to 3,189.98, 4,402.27 and 1,931.27 is: 2,665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.98 : 4,402.27 = 1,931.27 : x
  2. Step 2: Convert to fraction form
    3,189.98/4,402.27 = 1,931.27/x
  3. Step 3: Cross multiply
    3,189.98x = 4,402.27 × 1,931.27
  4. Step 4: Simplify right side
    3,189.98x = 8,501,949.97
  5. Step 5: Solve for x
    x = 8,501,949.97/3,189.98
  6. Step 6: Final answer
    x = 2,665.20

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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.