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Finding the Fourth Proportional to 2,007.87, 3,011.94 and 547.04

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Solution

The fourth proportional to 2,007.87, 3,011.94 and 547.04 is: 820.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.87 : 3,011.94 = 547.04 : x
  2. Step 2: Convert to fraction form
    2,007.87/3,011.94 = 547.04/x
  3. Step 3: Cross multiply
    2,007.87x = 3,011.94 × 547.04
  4. Step 4: Simplify right side
    2,007.87x = 1,647,636.60
  5. Step 5: Solve for x
    x = 1,647,636.60/2,007.87
  6. Step 6: Final answer
    x = 820.59

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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.