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Finding the Fourth Proportional to 2,673.90, 4,011.22 and 825.17

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Solution

The fourth proportional to 2,673.90, 4,011.22 and 825.17 is: 1,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.90 : 4,011.22 = 825.17 : x
  2. Step 2: Convert to fraction form
    2,673.90/4,011.22 = 825.17/x
  3. Step 3: Cross multiply
    2,673.90x = 4,011.22 × 825.17
  4. Step 4: Simplify right side
    2,673.90x = 3,309,938.41
  5. Step 5: Solve for x
    x = 3,309,938.41/2,673.90
  6. Step 6: Final answer
    x = 1,237.87

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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.