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Finding the Fourth Proportional to 2,185.62, 3,016.10 and 1,190.88

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Solution

The fourth proportional to 2,185.62, 3,016.10 and 1,190.88 is: 1,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.62 : 3,016.10 = 1,190.88 : x
  2. Step 2: Convert to fraction form
    2,185.62/3,016.10 = 1,190.88/x
  3. Step 3: Cross multiply
    2,185.62x = 3,016.10 × 1,190.88
  4. Step 4: Simplify right side
    2,185.62x = 3,591,813.17
  5. Step 5: Solve for x
    x = 3,591,813.17/2,185.62
  6. Step 6: Final answer
    x = 1,643.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.