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Finding the Fourth Proportional to 2,084.08, 3,125.89 and 835.20

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Solution

The fourth proportional to 2,084.08, 3,125.89 and 835.20 is: 1,252.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.08 : 3,125.89 = 835.20 : x
  2. Step 2: Convert to fraction form
    2,084.08/3,125.89 = 835.20/x
  3. Step 3: Cross multiply
    2,084.08x = 3,125.89 × 835.20
  4. Step 4: Simplify right side
    2,084.08x = 2,610,743.33
  5. Step 5: Solve for x
    x = 2,610,743.33/2,084.08
  6. Step 6: Final answer
    x = 1,252.71

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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.