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Finding the Fourth Proportional to 2,206.92, 3,310.41 and 974.07

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Solution

The fourth proportional to 2,206.92, 3,310.41 and 974.07 is: 1,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.92 : 3,310.41 = 974.07 : x
  2. Step 2: Convert to fraction form
    2,206.92/3,310.41 = 974.07/x
  3. Step 3: Cross multiply
    2,206.92x = 3,310.41 × 974.07
  4. Step 4: Simplify right side
    2,206.92x = 3,224,571.07
  5. Step 5: Solve for x
    x = 3,224,571.07/2,206.92
  6. Step 6: Final answer
    x = 1,461.12

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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.