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Finding the Fourth Proportional to 2,608.68, 3,600 and 1,429.68

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Solution

The fourth proportional to 2,608.68, 3,600 and 1,429.68 is: 1,972.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.68 : 3,600 = 1,429.68 : x
  2. Step 2: Convert to fraction form
    2,608.68/3,600 = 1,429.68/x
  3. Step 3: Cross multiply
    2,608.68x = 3,600 × 1,429.68
  4. Step 4: Simplify right side
    2,608.68x = 5,146,848
  5. Step 5: Solve for x
    x = 5,146,848/2,608.68
  6. Step 6: Final answer
    x = 1,972.97

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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.