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Finding the Fourth Proportional to 3,195.50, 4,793.85 and 1,004.85

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Solution

The fourth proportional to 3,195.50, 4,793.85 and 1,004.85 is: 1,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.50 : 4,793.85 = 1,004.85 : x
  2. Step 2: Convert to fraction form
    3,195.50/4,793.85 = 1,004.85/x
  3. Step 3: Cross multiply
    3,195.50x = 4,793.85 × 1,004.85
  4. Step 4: Simplify right side
    3,195.50x = 4,817,100.17
  5. Step 5: Solve for x
    x = 4,817,100.17/3,195.50
  6. Step 6: Final answer
    x = 1,507.47

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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.