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Finding the Fourth Proportional to 2,682.72, 4,022.83 and 1,017.16

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Solution

The fourth proportional to 2,682.72, 4,022.83 and 1,017.16 is: 1,525.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.72 : 4,022.83 = 1,017.16 : x
  2. Step 2: Convert to fraction form
    2,682.72/4,022.83 = 1,017.16/x
  3. Step 3: Cross multiply
    2,682.72x = 4,022.83 × 1,017.16
  4. Step 4: Simplify right side
    2,682.72x = 4,091,861.76
  5. Step 5: Solve for x
    x = 4,091,861.76/2,682.72
  6. Step 6: Final answer
    x = 1,525.27

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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.