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Finding the Fourth Proportional to 2,682.52, 4,021.71 and 1,016.62

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Solution

The fourth proportional to 2,682.52, 4,021.71 and 1,016.62 is: 1,524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.52 : 4,021.71 = 1,016.62 : x
  2. Step 2: Convert to fraction form
    2,682.52/4,021.71 = 1,016.62/x
  3. Step 3: Cross multiply
    2,682.52x = 4,021.71 × 1,016.62
  4. Step 4: Simplify right side
    2,682.52x = 4,088,550.82
  5. Step 5: Solve for x
    x = 4,088,550.82/2,682.52
  6. Step 6: Final answer
    x = 1,524.15

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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.