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Finding the Fourth Proportional to 3,106.38, 4,287.09 and 1,780.20

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Solution

The fourth proportional to 3,106.38, 4,287.09 and 1,780.20 is: 2,456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.38 : 4,287.09 = 1,780.20 : x
  2. Step 2: Convert to fraction form
    3,106.38/4,287.09 = 1,780.20/x
  3. Step 3: Cross multiply
    3,106.38x = 4,287.09 × 1,780.20
  4. Step 4: Simplify right side
    3,106.38x = 7,631,877.62
  5. Step 5: Solve for x
    x = 7,631,877.62/3,106.38
  6. Step 6: Final answer
    x = 2,456.84

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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.