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Finding the Fourth Proportional to 2,052.64, 2,832.97 and 1,213.54

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Solution

The fourth proportional to 2,052.64, 2,832.97 and 1,213.54 is: 1,674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.64 : 2,832.97 = 1,213.54 : x
  2. Step 2: Convert to fraction form
    2,052.64/2,832.97 = 1,213.54/x
  3. Step 3: Cross multiply
    2,052.64x = 2,832.97 × 1,213.54
  4. Step 4: Simplify right side
    2,052.64x = 3,437,922.41
  5. Step 5: Solve for x
    x = 3,437,922.41/2,052.64
  6. Step 6: Final answer
    x = 1,674.88

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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.