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Finding the Fourth Proportional to 2,167.70, 2,991.41 and 1,172.96

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Solution

The fourth proportional to 2,167.70, 2,991.41 and 1,172.96 is: 1,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.70 : 2,991.41 = 1,172.96 : x
  2. Step 2: Convert to fraction form
    2,167.70/2,991.41 = 1,172.96/x
  3. Step 3: Cross multiply
    2,167.70x = 2,991.41 × 1,172.96
  4. Step 4: Simplify right side
    2,167.70x = 3,508,822.49
  5. Step 5: Solve for x
    x = 3,508,822.49/2,167.70
  6. Step 6: Final answer
    x = 1,618.69

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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.