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Finding the Fourth Proportional to 2,072.10, 3,105.42 and 974.97

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Solution

The fourth proportional to 2,072.10, 3,105.42 and 974.97 is: 1,461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.10 : 3,105.42 = 974.97 : x
  2. Step 2: Convert to fraction form
    2,072.10/3,105.42 = 974.97/x
  3. Step 3: Cross multiply
    2,072.10x = 3,105.42 × 974.97
  4. Step 4: Simplify right side
    2,072.10x = 3,027,691.34
  5. Step 5: Solve for x
    x = 3,027,691.34/2,072.10
  6. Step 6: Final answer
    x = 1,461.17

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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.