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Finding the Fourth Proportional to 3,680, 5,078.48 and 2,024

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Solution

The fourth proportional to 3,680, 5,078.48 and 2,024 is: 2,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680 : 5,078.48 = 2,024 : x
  2. Step 2: Convert to fraction form
    3,680/5,078.48 = 2,024/x
  3. Step 3: Cross multiply
    3,680x = 5,078.48 × 2,024
  4. Step 4: Simplify right side
    3,680x = 10,278,843.52
  5. Step 5: Solve for x
    x = 10,278,843.52/3,680
  6. Step 6: Final answer
    x = 2,793.16

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Why These Related Problems?

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