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Finding the Fourth Proportional to 2,165.97, 2,989.03 and 1,171.24

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Solution

The fourth proportional to 2,165.97, 2,989.03 and 1,171.24 is: 1,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.97 : 2,989.03 = 1,171.24 : x
  2. Step 2: Convert to fraction form
    2,165.97/2,989.03 = 1,171.24/x
  3. Step 3: Cross multiply
    2,165.97x = 2,989.03 × 1,171.24
  4. Step 4: Simplify right side
    2,165.97x = 3,500,871.50
  5. Step 5: Solve for x
    x = 3,500,871.50/2,165.97
  6. Step 6: Final answer
    x = 1,616.31

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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.