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Finding the Fourth Proportional to 3,130.27, 4,694.49 and 938.41

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Solution

The fourth proportional to 3,130.27, 4,694.49 and 938.41 is: 1,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.27 : 4,694.49 = 938.41 : x
  2. Step 2: Convert to fraction form
    3,130.27/4,694.49 = 938.41/x
  3. Step 3: Cross multiply
    3,130.27x = 4,694.49 × 938.41
  4. Step 4: Simplify right side
    3,130.27x = 4,405,344.62
  5. Step 5: Solve for x
    x = 4,405,344.62/3,130.27
  6. Step 6: Final answer
    x = 1,407.34

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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.