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Finding the Fourth Proportional to 1,339.50, 1,997.67 and 1,247.16

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Solution

The fourth proportional to 1,339.50, 1,997.67 and 1,247.16 is: 1,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.50 : 1,997.67 = 1,247.16 : x
  2. Step 2: Convert to fraction form
    1,339.50/1,997.67 = 1,247.16/x
  3. Step 3: Cross multiply
    1,339.50x = 1,997.67 × 1,247.16
  4. Step 4: Simplify right side
    1,339.50x = 2,491,414.12
  5. Step 5: Solve for x
    x = 2,491,414.12/1,339.50
  6. Step 6: Final answer
    x = 1,859.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.