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Finding the Fourth Proportional to 2,011.42, 3,017.14 and 550.47

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Solution

The fourth proportional to 2,011.42, 3,017.14 and 550.47 is: 825.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.42 : 3,017.14 = 550.47 : x
  2. Step 2: Convert to fraction form
    2,011.42/3,017.14 = 550.47/x
  3. Step 3: Cross multiply
    2,011.42x = 3,017.14 × 550.47
  4. Step 4: Simplify right side
    2,011.42x = 1,660,845.06
  5. Step 5: Solve for x
    x = 1,660,845.06/2,011.42
  6. Step 6: Final answer
    x = 825.71

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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.