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Finding the Fourth Proportional to 2,402.67, 3,605.12 and 1,016.33

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Solution

The fourth proportional to 2,402.67, 3,605.12 and 1,016.33 is: 1,524.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.67 : 3,605.12 = 1,016.33 : x
  2. Step 2: Convert to fraction form
    2,402.67/3,605.12 = 1,016.33/x
  3. Step 3: Cross multiply
    2,402.67x = 3,605.12 × 1,016.33
  4. Step 4: Simplify right side
    2,402.67x = 3,663,991.61
  5. Step 5: Solve for x
    x = 3,663,991.61/2,402.67
  6. Step 6: Final answer
    x = 1,524.97

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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.