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Finding the Fourth Proportional to 1,513.02, 2,270.43 and 819.67

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Solution

The fourth proportional to 1,513.02, 2,270.43 and 819.67 is: 1,229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.02 : 2,270.43 = 819.67 : x
  2. Step 2: Convert to fraction form
    1,513.02/2,270.43 = 819.67/x
  3. Step 3: Cross multiply
    1,513.02x = 2,270.43 × 819.67
  4. Step 4: Simplify right side
    1,513.02x = 1,861,003.36
  5. Step 5: Solve for x
    x = 1,861,003.36/1,513.02
  6. Step 6: Final answer
    x = 1,229.99

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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.