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Finding the Fourth Proportional to 2,052.70, 2,832.56 and 1,213.25

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Solution

The fourth proportional to 2,052.70, 2,832.56 and 1,213.25 is: 1,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.70 : 2,832.56 = 1,213.25 : x
  2. Step 2: Convert to fraction form
    2,052.70/2,832.56 = 1,213.25/x
  3. Step 3: Cross multiply
    2,052.70x = 2,832.56 × 1,213.25
  4. Step 4: Simplify right side
    2,052.70x = 3,436,609.93
  5. Step 5: Solve for x
    x = 3,436,609.93/2,052.70
  6. Step 6: Final answer
    x = 1,674.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.