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Finding the Fourth Proportional to 2,063.80, 3,100.02 and 1,739.80

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Solution

The fourth proportional to 2,063.80, 3,100.02 and 1,739.80 is: 2,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.80 : 3,100.02 = 1,739.80 : x
  2. Step 2: Convert to fraction form
    2,063.80/3,100.02 = 1,739.80/x
  3. Step 3: Cross multiply
    2,063.80x = 3,100.02 × 1,739.80
  4. Step 4: Simplify right side
    2,063.80x = 5,393,414.80
  5. Step 5: Solve for x
    x = 5,393,414.80/2,063.80
  6. Step 6: Final answer
    x = 2,613.34

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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.