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Finding the Fourth Proportional to 2,007.56, 3,010.97 and 546.53

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Solution

The fourth proportional to 2,007.56, 3,010.97 and 546.53 is: 819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.56 : 3,010.97 = 546.53 : x
  2. Step 2: Convert to fraction form
    2,007.56/3,010.97 = 546.53/x
  3. Step 3: Cross multiply
    2,007.56x = 3,010.97 × 546.53
  4. Step 4: Simplify right side
    2,007.56x = 1,645,571.75
  5. Step 5: Solve for x
    x = 1,645,571.75/2,007.56
  6. Step 6: Final answer
    x = 819.69

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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.