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Finding the Fourth Proportional to 2,998.99, 4,493.48 and 2,119.86

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Solution

The fourth proportional to 2,998.99, 4,493.48 and 2,119.86 is: 3,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.99 : 4,493.48 = 2,119.86 : x
  2. Step 2: Convert to fraction form
    2,998.99/4,493.48 = 2,119.86/x
  3. Step 3: Cross multiply
    2,998.99x = 4,493.48 × 2,119.86
  4. Step 4: Simplify right side
    2,998.99x = 9,525,537.91
  5. Step 5: Solve for x
    x = 9,525,537.91/2,998.99
  6. Step 6: Final answer
    x = 3,176.25

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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.