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Finding the Fourth Proportional to 2,093.06, 3,138.67 and 631.87

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Solution

The fourth proportional to 2,093.06, 3,138.67 and 631.87 is: 947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.06 : 3,138.67 = 631.87 : x
  2. Step 2: Convert to fraction form
    2,093.06/3,138.67 = 631.87/x
  3. Step 3: Cross multiply
    2,093.06x = 3,138.67 × 631.87
  4. Step 4: Simplify right side
    2,093.06x = 1,983,231.41
  5. Step 5: Solve for x
    x = 1,983,231.41/2,093.06
  6. Step 6: Final answer
    x = 947.53

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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.