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Finding the Fourth Proportional to 2,625.68, 3,623.38 and 1,446.80

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Solution

The fourth proportional to 2,625.68, 3,623.38 and 1,446.80 is: 1,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.68 : 3,623.38 = 1,446.80 : x
  2. Step 2: Convert to fraction form
    2,625.68/3,623.38 = 1,446.80/x
  3. Step 3: Cross multiply
    2,625.68x = 3,623.38 × 1,446.80
  4. Step 4: Simplify right side
    2,625.68x = 5,242,306.18
  5. Step 5: Solve for x
    x = 5,242,306.18/2,625.68
  6. Step 6: Final answer
    x = 1,996.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.