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Finding the Fourth Proportional to 2,489.70, 3,735.16 and 758.33

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Solution

The fourth proportional to 2,489.70, 3,735.16 and 758.33 is: 1,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.70 : 3,735.16 = 758.33 : x
  2. Step 2: Convert to fraction form
    2,489.70/3,735.16 = 758.33/x
  3. Step 3: Cross multiply
    2,489.70x = 3,735.16 × 758.33
  4. Step 4: Simplify right side
    2,489.70x = 2,832,483.88
  5. Step 5: Solve for x
    x = 2,832,483.88/2,489.70
  6. Step 6: Final answer
    x = 1,137.68

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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.