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Finding the Fourth Proportional to 3,195.93, 4,783.99 and 1,731.45

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Solution

The fourth proportional to 3,195.93, 4,783.99 and 1,731.45 is: 2,591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.93 : 4,783.99 = 1,731.45 : x
  2. Step 2: Convert to fraction form
    3,195.93/4,783.99 = 1,731.45/x
  3. Step 3: Cross multiply
    3,195.93x = 4,783.99 × 1,731.45
  4. Step 4: Simplify right side
    3,195.93x = 8,283,239.49
  5. Step 5: Solve for x
    x = 8,283,239.49/3,195.93
  6. Step 6: Final answer
    x = 2,591.81

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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.