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Finding the Fourth Proportional to 2,647.52, 3,971.06 and 892.48

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Solution

The fourth proportional to 2,647.52, 3,971.06 and 892.48 is: 1,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.52 : 3,971.06 = 892.48 : x
  2. Step 2: Convert to fraction form
    2,647.52/3,971.06 = 892.48/x
  3. Step 3: Cross multiply
    2,647.52x = 3,971.06 × 892.48
  4. Step 4: Simplify right side
    2,647.52x = 3,544,105.76
  5. Step 5: Solve for x
    x = 3,544,105.76/2,647.52
  6. Step 6: Final answer
    x = 1,338.65

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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.