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Finding the Fourth Proportional to 1,984.26, 2,737.38 and 1,144.80

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Solution

The fourth proportional to 1,984.26, 2,737.38 and 1,144.80 is: 1,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.26 : 2,737.38 = 1,144.80 : x
  2. Step 2: Convert to fraction form
    1,984.26/2,737.38 = 1,144.80/x
  3. Step 3: Cross multiply
    1,984.26x = 2,737.38 × 1,144.80
  4. Step 4: Simplify right side
    1,984.26x = 3,133,752.62
  5. Step 5: Solve for x
    x = 3,133,752.62/1,984.26
  6. Step 6: Final answer
    x = 1,579.31

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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.