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Finding the Fourth Proportional to 2,167.68, 2,991.84 and 1,469.28

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Solution

The fourth proportional to 2,167.68, 2,991.84 and 1,469.28 is: 2,027.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.68 : 2,991.84 = 1,469.28 : x
  2. Step 2: Convert to fraction form
    2,167.68/2,991.84 = 1,469.28/x
  3. Step 3: Cross multiply
    2,167.68x = 2,991.84 × 1,469.28
  4. Step 4: Simplify right side
    2,167.68x = 4,395,850.68
  5. Step 5: Solve for x
    x = 4,395,850.68/2,167.68
  6. Step 6: Final answer
    x = 2,027.91

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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.