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Finding the Fourth Proportional to 2,625.70, 3,623.42 and 1,446.88

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Solution

The fourth proportional to 2,625.70, 3,623.42 and 1,446.88 is: 1,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.70 : 3,623.42 = 1,446.88 : x
  2. Step 2: Convert to fraction form
    2,625.70/3,623.42 = 1,446.88/x
  3. Step 3: Cross multiply
    2,625.70x = 3,623.42 × 1,446.88
  4. Step 4: Simplify right side
    2,625.70x = 5,242,653.93
  5. Step 5: Solve for x
    x = 5,242,653.93/2,625.70
  6. Step 6: Final answer
    x = 1,996.67

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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.