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Finding the Fourth Proportional to 2,997.99, 4,137.93 and 2,003.67

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Solution

The fourth proportional to 2,997.99, 4,137.93 and 2,003.67 is: 2,765.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.99 : 4,137.93 = 2,003.67 : x
  2. Step 2: Convert to fraction form
    2,997.99/4,137.93 = 2,003.67/x
  3. Step 3: Cross multiply
    2,997.99x = 4,137.93 × 2,003.67
  4. Step 4: Simplify right side
    2,997.99x = 8,291,046.20
  5. Step 5: Solve for x
    x = 8,291,046.20/2,997.99
  6. Step 6: Final answer
    x = 2,765.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.