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Finding the Fourth Proportional to 2,083.62, 3,125.86 and 622.88

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Solution

The fourth proportional to 2,083.62, 3,125.86 and 622.88 is: 934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.62 : 3,125.86 = 622.88 : x
  2. Step 2: Convert to fraction form
    2,083.62/3,125.86 = 622.88/x
  3. Step 3: Cross multiply
    2,083.62x = 3,125.86 × 622.88
  4. Step 4: Simplify right side
    2,083.62x = 1,947,035.68
  5. Step 5: Solve for x
    x = 1,947,035.68/2,083.62
  6. Step 6: Final answer
    x = 934.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.