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Finding the Fourth Proportional to 2,007.44, 3,011.31 and 546.57

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Solution

The fourth proportional to 2,007.44, 3,011.31 and 546.57 is: 819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.44 : 3,011.31 = 546.57 : x
  2. Step 2: Convert to fraction form
    2,007.44/3,011.31 = 546.57/x
  3. Step 3: Cross multiply
    2,007.44x = 3,011.31 × 546.57
  4. Step 4: Simplify right side
    2,007.44x = 1,645,891.71
  5. Step 5: Solve for x
    x = 1,645,891.71/2,007.44
  6. Step 6: Final answer
    x = 819.90

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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.