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Finding the Fourth Proportional to 3,042.99, 4,563.27 and 1,193.49

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Solution

The fourth proportional to 3,042.99, 4,563.27 and 1,193.49 is: 1,789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.99 : 4,563.27 = 1,193.49 : x
  2. Step 2: Convert to fraction form
    3,042.99/4,563.27 = 1,193.49/x
  3. Step 3: Cross multiply
    3,042.99x = 4,563.27 × 1,193.49
  4. Step 4: Simplify right side
    3,042.99x = 5,446,217.11
  5. Step 5: Solve for x
    x = 5,446,217.11/3,042.99
  6. Step 6: Final answer
    x = 1,789.76

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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.