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Finding the Fourth Proportional to 2,697.26, 4,044.50 and 1,380.80

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Solution

The fourth proportional to 2,697.26, 4,044.50 and 1,380.80 is: 2,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.26 : 4,044.50 = 1,380.80 : x
  2. Step 2: Convert to fraction form
    2,697.26/4,044.50 = 1,380.80/x
  3. Step 3: Cross multiply
    2,697.26x = 4,044.50 × 1,380.80
  4. Step 4: Simplify right side
    2,697.26x = 5,584,645.60
  5. Step 5: Solve for x
    x = 5,584,645.60/2,697.26
  6. Step 6: Final answer
    x = 2,070.49

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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.