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Finding the Fourth Proportional to 2,083.30, 3,125.36 and 622.42

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Solution

The fourth proportional to 2,083.30, 3,125.36 and 622.42 is: 933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.30 : 3,125.36 = 622.42 : x
  2. Step 2: Convert to fraction form
    2,083.30/3,125.36 = 622.42/x
  3. Step 3: Cross multiply
    2,083.30x = 3,125.36 × 622.42
  4. Step 4: Simplify right side
    2,083.30x = 1,945,286.57
  5. Step 5: Solve for x
    x = 1,945,286.57/2,083.30
  6. Step 6: Final answer
    x = 933.75

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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.