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Finding the Fourth Proportional to 2,625.52, 3,623.13 and 1,446.61

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Solution

The fourth proportional to 2,625.52, 3,623.13 and 1,446.61 is: 1,996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.52 : 3,623.13 = 1,446.61 : x
  2. Step 2: Convert to fraction form
    2,625.52/3,623.13 = 1,446.61/x
  3. Step 3: Cross multiply
    2,625.52x = 3,623.13 × 1,446.61
  4. Step 4: Simplify right side
    2,625.52x = 5,241,256.09
  5. Step 5: Solve for x
    x = 5,241,256.09/2,625.52
  6. Step 6: Final answer
    x = 1,996.27

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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.