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Finding the Fourth Proportional to 2,489.80, 3,735.81 and 1,029.28

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Solution

The fourth proportional to 2,489.80, 3,735.81 and 1,029.28 is: 1,544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.80 : 3,735.81 = 1,029.28 : x
  2. Step 2: Convert to fraction form
    2,489.80/3,735.81 = 1,029.28/x
  3. Step 3: Cross multiply
    2,489.80x = 3,735.81 × 1,029.28
  4. Step 4: Simplify right side
    2,489.80x = 3,845,194.52
  5. Step 5: Solve for x
    x = 3,845,194.52/2,489.80
  6. Step 6: Final answer
    x = 1,544.38

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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.