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Finding the Fourth Proportional to 2,995.82, 4,493.73 and 943.82

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Solution

The fourth proportional to 2,995.82, 4,493.73 and 943.82 is: 1,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.82 : 4,493.73 = 943.82 : x
  2. Step 2: Convert to fraction form
    2,995.82/4,493.73 = 943.82/x
  3. Step 3: Cross multiply
    2,995.82x = 4,493.73 × 943.82
  4. Step 4: Simplify right side
    2,995.82x = 4,241,272.25
  5. Step 5: Solve for x
    x = 4,241,272.25/2,995.82
  6. Step 6: Final answer
    x = 1,415.73

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Why These Related Problems?

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