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Finding the Fourth Proportional to 2,086.14, 3,129.06 and 625.26

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Solution

The fourth proportional to 2,086.14, 3,129.06 and 625.26 is: 937.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.14 : 3,129.06 = 625.26 : x
  2. Step 2: Convert to fraction form
    2,086.14/3,129.06 = 625.26/x
  3. Step 3: Cross multiply
    2,086.14x = 3,129.06 × 625.26
  4. Step 4: Simplify right side
    2,086.14x = 1,956,476.06
  5. Step 5: Solve for x
    x = 1,956,476.06/2,086.14
  6. Step 6: Final answer
    x = 937.85

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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.