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Finding the Fourth Proportional to 2,693.31, 4,039.84 and 938.71

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Solution

The fourth proportional to 2,693.31, 4,039.84 and 938.71 is: 1,408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.31 : 4,039.84 = 938.71 : x
  2. Step 2: Convert to fraction form
    2,693.31/4,039.84 = 938.71/x
  3. Step 3: Cross multiply
    2,693.31x = 4,039.84 × 938.71
  4. Step 4: Simplify right side
    2,693.31x = 3,792,238.21
  5. Step 5: Solve for x
    x = 3,792,238.21/2,693.31
  6. Step 6: Final answer
    x = 1,408.02

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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.