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Finding the Fourth Proportional to 1,247.67, 1,730.09 and 1,206.16

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Solution

The fourth proportional to 1,247.67, 1,730.09 and 1,206.16 is: 1,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.67 : 1,730.09 = 1,206.16 : x
  2. Step 2: Convert to fraction form
    1,247.67/1,730.09 = 1,206.16/x
  3. Step 3: Cross multiply
    1,247.67x = 1,730.09 × 1,206.16
  4. Step 4: Simplify right side
    1,247.67x = 2,086,764.04
  5. Step 5: Solve for x
    x = 2,086,764.04/1,247.67
  6. Step 6: Final answer
    x = 1,672.53

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.