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Finding the Fourth Proportional to 2,301.38, 3,452.27 and 635.51

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Solution

The fourth proportional to 2,301.38, 3,452.27 and 635.51 is: 953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.38 : 3,452.27 = 635.51 : x
  2. Step 2: Convert to fraction form
    2,301.38/3,452.27 = 635.51/x
  3. Step 3: Cross multiply
    2,301.38x = 3,452.27 × 635.51
  4. Step 4: Simplify right side
    2,301.38x = 2,193,937.80
  5. Step 5: Solve for x
    x = 2,193,937.80/2,301.38
  6. Step 6: Final answer
    x = 953.31

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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.