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Finding the Fourth Proportional to 2,402.94, 3,604.89 and 1,016.27

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Solution

The fourth proportional to 2,402.94, 3,604.89 and 1,016.27 is: 1,524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.94 : 3,604.89 = 1,016.27 : x
  2. Step 2: Convert to fraction form
    2,402.94/3,604.89 = 1,016.27/x
  3. Step 3: Cross multiply
    2,402.94x = 3,604.89 × 1,016.27
  4. Step 4: Simplify right side
    2,402.94x = 3,663,535.15
  5. Step 5: Solve for x
    x = 3,663,535.15/2,402.94
  6. Step 6: Final answer
    x = 1,524.61

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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.