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Finding the Fourth Proportional to 1,520.72, 2,098.78 and 857.73

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Solution

The fourth proportional to 1,520.72, 2,098.78 and 857.73 is: 1,183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.72 : 2,098.78 = 857.73 : x
  2. Step 2: Convert to fraction form
    1,520.72/2,098.78 = 857.73/x
  3. Step 3: Cross multiply
    1,520.72x = 2,098.78 × 857.73
  4. Step 4: Simplify right side
    1,520.72x = 1,800,186.57
  5. Step 5: Solve for x
    x = 1,800,186.57/1,520.72
  6. Step 6: Final answer
    x = 1,183.77

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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.