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Finding the Fourth Proportional to 2,092.45, 3,138.94 and 631.75

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Solution

The fourth proportional to 2,092.45, 3,138.94 and 631.75 is: 947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.45 : 3,138.94 = 631.75 : x
  2. Step 2: Convert to fraction form
    2,092.45/3,138.94 = 631.75/x
  3. Step 3: Cross multiply
    2,092.45x = 3,138.94 × 631.75
  4. Step 4: Simplify right side
    2,092.45x = 1,983,025.35
  5. Step 5: Solve for x
    x = 1,983,025.35/2,092.45
  6. Step 6: Final answer
    x = 947.71

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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.