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Finding the Fourth Proportional to 1,601.67, 2,401.51 and 626.63

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Solution

The fourth proportional to 1,601.67, 2,401.51 and 626.63 is: 939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.67 : 2,401.51 = 626.63 : x
  2. Step 2: Convert to fraction form
    1,601.67/2,401.51 = 626.63/x
  3. Step 3: Cross multiply
    1,601.67x = 2,401.51 × 626.63
  4. Step 4: Simplify right side
    1,601.67x = 1,504,858.21
  5. Step 5: Solve for x
    x = 1,504,858.21/1,601.67
  6. Step 6: Final answer
    x = 939.56

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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.