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Finding the Fourth Proportional to 2,608.67, 3,600 and 1,429.74

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Solution

The fourth proportional to 2,608.67, 3,600 and 1,429.74 is: 1,973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.67 : 3,600 = 1,429.74 : x
  2. Step 2: Convert to fraction form
    2,608.67/3,600 = 1,429.74/x
  3. Step 3: Cross multiply
    2,608.67x = 3,600 × 1,429.74
  4. Step 4: Simplify right side
    2,608.67x = 5,147,064
  5. Step 5: Solve for x
    x = 5,147,064/2,608.67
  6. Step 6: Final answer
    x = 1,973.06

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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.