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Finding the Fourth Proportional to 2,049.27, 3,073.53 and 879.48

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Solution

The fourth proportional to 2,049.27, 3,073.53 and 879.48 is: 1,319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.27 : 3,073.53 = 879.48 : x
  2. Step 2: Convert to fraction form
    2,049.27/3,073.53 = 879.48/x
  3. Step 3: Cross multiply
    2,049.27x = 3,073.53 × 879.48
  4. Step 4: Simplify right side
    2,049.27x = 2,703,108.16
  5. Step 5: Solve for x
    x = 2,703,108.16/2,049.27
  6. Step 6: Final answer
    x = 1,319.06

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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.