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Finding the Fourth Proportional to 2,609.39, 3,600.99 and 1,430.44

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Solution

The fourth proportional to 2,609.39, 3,600.99 and 1,430.44 is: 1,974.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.39 : 3,600.99 = 1,430.44 : x
  2. Step 2: Convert to fraction form
    2,609.39/3,600.99 = 1,430.44/x
  3. Step 3: Cross multiply
    2,609.39x = 3,600.99 × 1,430.44
  4. Step 4: Simplify right side
    2,609.39x = 5,150,991.13
  5. Step 5: Solve for x
    x = 5,150,991.13/2,609.39
  6. Step 6: Final answer
    x = 1,974.02

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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.