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Finding the Fourth Proportional to 2,086.31, 3,129.46 and 625.46

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Solution

The fourth proportional to 2,086.31, 3,129.46 and 625.46 is: 938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.31 : 3,129.46 = 625.46 : x
  2. Step 2: Convert to fraction form
    2,086.31/3,129.46 = 625.46/x
  3. Step 3: Cross multiply
    2,086.31x = 3,129.46 × 625.46
  4. Step 4: Simplify right side
    2,086.31x = 1,957,355.96
  5. Step 5: Solve for x
    x = 1,957,355.96/2,086.31
  6. Step 6: Final answer
    x = 938.19

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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.