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Finding the Fourth Proportional to 2,086.48, 3,129.86 and 625.78

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Solution

The fourth proportional to 2,086.48, 3,129.86 and 625.78 is: 938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.48 : 3,129.86 = 625.78 : x
  2. Step 2: Convert to fraction form
    2,086.48/3,129.86 = 625.78/x
  3. Step 3: Cross multiply
    2,086.48x = 3,129.86 × 625.78
  4. Step 4: Simplify right side
    2,086.48x = 1,958,603.79
  5. Step 5: Solve for x
    x = 1,958,603.79/2,086.48
  6. Step 6: Final answer
    x = 938.71

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