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Finding the Fourth Proportional to 2,674.28, 4,011.83 and 825.22

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Solution

The fourth proportional to 2,674.28, 4,011.83 and 825.22 is: 1,237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.28 : 4,011.83 = 825.22 : x
  2. Step 2: Convert to fraction form
    2,674.28/4,011.83 = 825.22/x
  3. Step 3: Cross multiply
    2,674.28x = 4,011.83 × 825.22
  4. Step 4: Simplify right side
    2,674.28x = 3,310,646.34
  5. Step 5: Solve for x
    x = 3,310,646.34/2,674.28
  6. Step 6: Final answer
    x = 1,237.96

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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.