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Finding the Fourth Proportional to 2,993.82, 4,500.87 and 2,412.90

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Solution

The fourth proportional to 2,993.82, 4,500.87 and 2,412.90 is: 3,627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.82 : 4,500.87 = 2,412.90 : x
  2. Step 2: Convert to fraction form
    2,993.82/4,500.87 = 2,412.90/x
  3. Step 3: Cross multiply
    2,993.82x = 4,500.87 × 2,412.90
  4. Step 4: Simplify right side
    2,993.82x = 10,860,125.91
  5. Step 5: Solve for x
    x = 10,860,125.91/2,993.82
  6. Step 6: Final answer
    x = 3,627.51

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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.