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Finding the Fourth Proportional to 2,625.87, 3,623.71 and 1,446.94

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Solution

The fourth proportional to 2,625.87, 3,623.71 and 1,446.94 is: 1,996.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.87 : 3,623.71 = 1,446.94 : x
  2. Step 2: Convert to fraction form
    2,625.87/3,623.71 = 1,446.94/x
  3. Step 3: Cross multiply
    2,625.87x = 3,623.71 × 1,446.94
  4. Step 4: Simplify right side
    2,625.87x = 5,243,290.95
  5. Step 5: Solve for x
    x = 5,243,290.95/2,625.87
  6. Step 6: Final answer
    x = 1,996.78

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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.