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Finding the Fourth Proportional to 2,007.24, 3,011.09 and 546.41

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Solution

The fourth proportional to 2,007.24, 3,011.09 and 546.41 is: 819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.24 : 3,011.09 = 546.41 : x
  2. Step 2: Convert to fraction form
    2,007.24/3,011.09 = 546.41/x
  3. Step 3: Cross multiply
    2,007.24x = 3,011.09 × 546.41
  4. Step 4: Simplify right side
    2,007.24x = 1,645,289.69
  5. Step 5: Solve for x
    x = 1,645,289.69/2,007.24
  6. Step 6: Final answer
    x = 819.68

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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.