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Finding the Fourth Proportional to 2,752.13, 4,125.69 and 996.73

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Solution

The fourth proportional to 2,752.13, 4,125.69 and 996.73 is: 1,494.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.13 : 4,125.69 = 996.73 : x
  2. Step 2: Convert to fraction form
    2,752.13/4,125.69 = 996.73/x
  3. Step 3: Cross multiply
    2,752.13x = 4,125.69 × 996.73
  4. Step 4: Simplify right side
    2,752.13x = 4,112,188.68
  5. Step 5: Solve for x
    x = 4,112,188.68/2,752.13
  6. Step 6: Final answer
    x = 1,494.18

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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.