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Finding the Fourth Proportional to 1,520.08, 2,277.92 and 827.16

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Solution

The fourth proportional to 1,520.08, 2,277.92 and 827.16 is: 1,239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.08 : 2,277.92 = 827.16 : x
  2. Step 2: Convert to fraction form
    1,520.08/2,277.92 = 827.16/x
  3. Step 3: Cross multiply
    1,520.08x = 2,277.92 × 827.16
  4. Step 4: Simplify right side
    1,520.08x = 1,884,204.31
  5. Step 5: Solve for x
    x = 1,884,204.31/1,520.08
  6. Step 6: Final answer
    x = 1,239.54

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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.