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Finding the Fourth Proportional to 2,934.49, 4,391.24 and 2,549.03

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Solution

The fourth proportional to 2,934.49, 4,391.24 and 2,549.03 is: 3,814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.49 : 4,391.24 = 2,549.03 : x
  2. Step 2: Convert to fraction form
    2,934.49/4,391.24 = 2,549.03/x
  3. Step 3: Cross multiply
    2,934.49x = 4,391.24 × 2,549.03
  4. Step 4: Simplify right side
    2,934.49x = 11,193,402.50
  5. Step 5: Solve for x
    x = 11,193,402.50/2,934.49
  6. Step 6: Final answer
    x = 3,814.43

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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.