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Finding the Fourth Proportional to 2,832.80, 4,247.04 and 1,102.64

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Solution

The fourth proportional to 2,832.80, 4,247.04 and 1,102.64 is: 1,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.80 : 4,247.04 = 1,102.64 : x
  2. Step 2: Convert to fraction form
    2,832.80/4,247.04 = 1,102.64/x
  3. Step 3: Cross multiply
    2,832.80x = 4,247.04 × 1,102.64
  4. Step 4: Simplify right side
    2,832.80x = 4,682,956.19
  5. Step 5: Solve for x
    x = 4,682,956.19/2,832.80
  6. Step 6: Final answer
    x = 1,653.12

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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.