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Finding the Fourth Proportional to 1,513.19, 2,270.01 and 819.95

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Solution

The fourth proportional to 1,513.19, 2,270.01 and 819.95 is: 1,230.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.19 : 2,270.01 = 819.95 : x
  2. Step 2: Convert to fraction form
    1,513.19/2,270.01 = 819.95/x
  3. Step 3: Cross multiply
    1,513.19x = 2,270.01 × 819.95
  4. Step 4: Simplify right side
    1,513.19x = 1,861,283.35
  5. Step 5: Solve for x
    x = 1,861,283.35/1,513.19
  6. Step 6: Final answer
    x = 1,230.04

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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.