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Finding the Fourth Proportional to 2,861.82, 4,294.07 and 1,014.33

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Solution

The fourth proportional to 2,861.82, 4,294.07 and 1,014.33 is: 1,521.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.82 : 4,294.07 = 1,014.33 : x
  2. Step 2: Convert to fraction form
    2,861.82/4,294.07 = 1,014.33/x
  3. Step 3: Cross multiply
    2,861.82x = 4,294.07 × 1,014.33
  4. Step 4: Simplify right side
    2,861.82x = 4,355,604.02
  5. Step 5: Solve for x
    x = 4,355,604.02/2,861.82
  6. Step 6: Final answer
    x = 1,521.97

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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.