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Finding the Fourth Proportional to 2,175.49, 3,259.12 and 1,079.25

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Solution

The fourth proportional to 2,175.49, 3,259.12 and 1,079.25 is: 1,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.49 : 3,259.12 = 1,079.25 : x
  2. Step 2: Convert to fraction form
    2,175.49/3,259.12 = 1,079.25/x
  3. Step 3: Cross multiply
    2,175.49x = 3,259.12 × 1,079.25
  4. Step 4: Simplify right side
    2,175.49x = 3,517,405.26
  5. Step 5: Solve for x
    x = 3,517,405.26/2,175.49
  6. Step 6: Final answer
    x = 1,616.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.