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Finding the Fourth Proportional to 3,195.69, 4,410 and 1,798.44

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Solution

The fourth proportional to 3,195.69, 4,410 and 1,798.44 is: 2,481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.69 : 4,410 = 1,798.44 : x
  2. Step 2: Convert to fraction form
    3,195.69/4,410 = 1,798.44/x
  3. Step 3: Cross multiply
    3,195.69x = 4,410 × 1,798.44
  4. Step 4: Simplify right side
    3,195.69x = 7,931,120.40
  5. Step 5: Solve for x
    x = 7,931,120.40/3,195.69
  6. Step 6: Final answer
    x = 2,481.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.