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Finding the Fourth Proportional to 3,195.26, 4,409.86 and 1,798

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Solution

The fourth proportional to 3,195.26, 4,409.86 and 1,798 is: 2,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.26 : 4,409.86 = 1,798 : x
  2. Step 2: Convert to fraction form
    3,195.26/4,409.86 = 1,798/x
  3. Step 3: Cross multiply
    3,195.26x = 4,409.86 × 1,798
  4. Step 4: Simplify right side
    3,195.26x = 7,928,928.28
  5. Step 5: Solve for x
    x = 7,928,928.28/3,195.26
  6. Step 6: Final answer
    x = 2,481.47

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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.