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Finding the Fourth Proportional to 2,648.30, 3,971.79 and 892.83

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Solution

The fourth proportional to 2,648.30, 3,971.79 and 892.83 is: 1,339.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.30 : 3,971.79 = 892.83 : x
  2. Step 2: Convert to fraction form
    2,648.30/3,971.79 = 892.83/x
  3. Step 3: Cross multiply
    2,648.30x = 3,971.79 × 892.83
  4. Step 4: Simplify right side
    2,648.30x = 3,546,148.16
  5. Step 5: Solve for x
    x = 3,546,148.16/2,648.30
  6. Step 6: Final answer
    x = 1,339.03

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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.