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Finding the Fourth Proportional to 2,052.72, 2,832.48 and 1,213.32

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Solution

The fourth proportional to 2,052.72, 2,832.48 and 1,213.32 is: 1,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.72 : 2,832.48 = 1,213.32 : x
  2. Step 2: Convert to fraction form
    2,052.72/2,832.48 = 1,213.32/x
  3. Step 3: Cross multiply
    2,052.72x = 2,832.48 × 1,213.32
  4. Step 4: Simplify right side
    2,052.72x = 3,436,704.63
  5. Step 5: Solve for x
    x = 3,436,704.63/2,052.72
  6. Step 6: Final answer
    x = 1,674.22

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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.