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Finding the Fourth Proportional to 2,513.28, 3,769.96 and 953.29

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Solution

The fourth proportional to 2,513.28, 3,769.96 and 953.29 is: 1,429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.28 : 3,769.96 = 953.29 : x
  2. Step 2: Convert to fraction form
    2,513.28/3,769.96 = 953.29/x
  3. Step 3: Cross multiply
    2,513.28x = 3,769.96 × 953.29
  4. Step 4: Simplify right side
    2,513.28x = 3,593,865.17
  5. Step 5: Solve for x
    x = 3,593,865.17/2,513.28
  6. Step 6: Final answer
    x = 1,429.95

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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.