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Finding the Fourth Proportional to 3,195.70, 4,793.78 and 1,809.70

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Solution

The fourth proportional to 3,195.70, 4,793.78 and 1,809.70 is: 2,714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.70 : 4,793.78 = 1,809.70 : x
  2. Step 2: Convert to fraction form
    3,195.70/4,793.78 = 1,809.70/x
  3. Step 3: Cross multiply
    3,195.70x = 4,793.78 × 1,809.70
  4. Step 4: Simplify right side
    3,195.70x = 8,675,303.67
  5. Step 5: Solve for x
    x = 8,675,303.67/3,195.70
  6. Step 6: Final answer
    x = 2,714.68

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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.