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Finding the Fourth Proportional to 3,195.84, 4,794.98 and 1,636.59

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Solution

The fourth proportional to 3,195.84, 4,794.98 and 1,636.59 is: 2,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.84 : 4,794.98 = 1,636.59 : x
  2. Step 2: Convert to fraction form
    3,195.84/4,794.98 = 1,636.59/x
  3. Step 3: Cross multiply
    3,195.84x = 4,794.98 × 1,636.59
  4. Step 4: Simplify right side
    3,195.84x = 7,847,408.14
  5. Step 5: Solve for x
    x = 7,847,408.14/3,195.84
  6. Step 6: Final answer
    x = 2,455.51

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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.