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Finding the Fourth Proportional to 2,062.71, 3,093.42 and 1,138.08

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Solution

The fourth proportional to 2,062.71, 3,093.42 and 1,138.08 is: 1,706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.71 : 3,093.42 = 1,138.08 : x
  2. Step 2: Convert to fraction form
    2,062.71/3,093.42 = 1,138.08/x
  3. Step 3: Cross multiply
    2,062.71x = 3,093.42 × 1,138.08
  4. Step 4: Simplify right side
    2,062.71x = 3,520,559.43
  5. Step 5: Solve for x
    x = 3,520,559.43/2,062.71
  6. Step 6: Final answer
    x = 1,706.76

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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.