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Finding the Fourth Proportional to 2,074.33, 3,112.09 and 613.52

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Solution

The fourth proportional to 2,074.33, 3,112.09 and 613.52 is: 920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.33 : 3,112.09 = 613.52 : x
  2. Step 2: Convert to fraction form
    2,074.33/3,112.09 = 613.52/x
  3. Step 3: Cross multiply
    2,074.33x = 3,112.09 × 613.52
  4. Step 4: Simplify right side
    2,074.33x = 1,909,318.73
  5. Step 5: Solve for x
    x = 1,909,318.73/2,074.33
  6. Step 6: Final answer
    x = 920.45

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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.