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Finding the Fourth Proportional to 2,513.70, 3,770.73 and 758.57

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Solution

The fourth proportional to 2,513.70, 3,770.73 and 758.57 is: 1,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.70 : 3,770.73 = 758.57 : x
  2. Step 2: Convert to fraction form
    2,513.70/3,770.73 = 758.57/x
  3. Step 3: Cross multiply
    2,513.70x = 3,770.73 × 758.57
  4. Step 4: Simplify right side
    2,513.70x = 2,860,343.80
  5. Step 5: Solve for x
    x = 2,860,343.80/2,513.70
  6. Step 6: Final answer
    x = 1,137.90

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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.