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Finding the Fourth Proportional to 2,011.14, 3,016.71 and 550.31

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Solution

The fourth proportional to 2,011.14, 3,016.71 and 550.31 is: 825.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.14 : 3,016.71 = 550.31 : x
  2. Step 2: Convert to fraction form
    2,011.14/3,016.71 = 550.31/x
  3. Step 3: Cross multiply
    2,011.14x = 3,016.71 × 550.31
  4. Step 4: Simplify right side
    2,011.14x = 1,660,125.68
  5. Step 5: Solve for x
    x = 1,660,125.68/2,011.14
  6. Step 6: Final answer
    x = 825.47

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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.