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Finding the Fourth Proportional to 1,625.38, 2,438.37 and 801.61

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Solution

The fourth proportional to 1,625.38, 2,438.37 and 801.61 is: 1,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.38 : 2,438.37 = 801.61 : x
  2. Step 2: Convert to fraction form
    1,625.38/2,438.37 = 801.61/x
  3. Step 3: Cross multiply
    1,625.38x = 2,438.37 × 801.61
  4. Step 4: Simplify right side
    1,625.38x = 1,954,615.68
  5. Step 5: Solve for x
    x = 1,954,615.68/1,625.38
  6. Step 6: Final answer
    x = 1,202.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.