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Finding the Fourth Proportional to 2,626, 3,623.84 and 1,447.04

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Solution

The fourth proportional to 2,626, 3,623.84 and 1,447.04 is: 1,996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626 : 3,623.84 = 1,447.04 : x
  2. Step 2: Convert to fraction form
    2,626/3,623.84 = 1,447.04/x
  3. Step 3: Cross multiply
    2,626x = 3,623.84 × 1,447.04
  4. Step 4: Simplify right side
    2,626x = 5,243,841.43
  5. Step 5: Solve for x
    x = 5,243,841.43/2,626
  6. Step 6: Final answer
    x = 1,996.89

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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.