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Finding the Fourth Proportional to 3,195, 4,793.02 and 1,003.16

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Solution

The fourth proportional to 3,195, 4,793.02 and 1,003.16 is: 1,504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195 : 4,793.02 = 1,003.16 : x
  2. Step 2: Convert to fraction form
    3,195/4,793.02 = 1,003.16/x
  3. Step 3: Cross multiply
    3,195x = 4,793.02 × 1,003.16
  4. Step 4: Simplify right side
    3,195x = 4,808,165.94
  5. Step 5: Solve for x
    x = 4,808,165.94/3,195
  6. Step 6: Final answer
    x = 1,504.90

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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.