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Finding the Fourth Proportional to 1,996.71, 2,996.16 and 764.29

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Solution

The fourth proportional to 1,996.71, 2,996.16 and 764.29 is: 1,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.71 : 2,996.16 = 764.29 : x
  2. Step 2: Convert to fraction form
    1,996.71/2,996.16 = 764.29/x
  3. Step 3: Cross multiply
    1,996.71x = 2,996.16 × 764.29
  4. Step 4: Simplify right side
    1,996.71x = 2,289,935.13
  5. Step 5: Solve for x
    x = 2,289,935.13/1,996.71
  6. Step 6: Final answer
    x = 1,146.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.