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Finding the Fourth Proportional to 1,647.96, 2,469.78 and 1,213.08

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Solution

The fourth proportional to 1,647.96, 2,469.78 and 1,213.08 is: 1,818.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.96 : 2,469.78 = 1,213.08 : x
  2. Step 2: Convert to fraction form
    1,647.96/2,469.78 = 1,213.08/x
  3. Step 3: Cross multiply
    1,647.96x = 2,469.78 × 1,213.08
  4. Step 4: Simplify right side
    1,647.96x = 2,996,040.72
  5. Step 5: Solve for x
    x = 2,996,040.72/1,647.96
  6. Step 6: Final answer
    x = 1,818.03

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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.