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Finding the Fourth Proportional to 2,497.05, 3,742.97 and 938.21

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Solution

The fourth proportional to 2,497.05, 3,742.97 and 938.21 is: 1,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.05 : 3,742.97 = 938.21 : x
  2. Step 2: Convert to fraction form
    2,497.05/3,742.97 = 938.21/x
  3. Step 3: Cross multiply
    2,497.05x = 3,742.97 × 938.21
  4. Step 4: Simplify right side
    2,497.05x = 3,511,668.48
  5. Step 5: Solve for x
    x = 3,511,668.48/2,497.05
  6. Step 6: Final answer
    x = 1,406.33

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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.