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Finding the Fourth Proportional to 2,007.38, 3,010.84 and 546.42

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Solution

The fourth proportional to 2,007.38, 3,010.84 and 546.42 is: 819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.38 : 3,010.84 = 546.42 : x
  2. Step 2: Convert to fraction form
    2,007.38/3,010.84 = 546.42/x
  3. Step 3: Cross multiply
    2,007.38x = 3,010.84 × 546.42
  4. Step 4: Simplify right side
    2,007.38x = 1,645,183.19
  5. Step 5: Solve for x
    x = 1,645,183.19/2,007.38
  6. Step 6: Final answer
    x = 819.57

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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.