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Finding the Fourth Proportional to 3,196.63, 4,411.38 and 1,780.39

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Solution

The fourth proportional to 3,196.63, 4,411.38 and 1,780.39 is: 2,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.63 : 4,411.38 = 1,780.39 : x
  2. Step 2: Convert to fraction form
    3,196.63/4,411.38 = 1,780.39/x
  3. Step 3: Cross multiply
    3,196.63x = 4,411.38 × 1,780.39
  4. Step 4: Simplify right side
    3,196.63x = 7,853,976.84
  5. Step 5: Solve for x
    x = 7,853,976.84/3,196.63
  6. Step 6: Final answer
    x = 2,456.96

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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.