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Finding the Fourth Proportional to 3,131.70, 4,321.72 and 1,715.38

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Solution

The fourth proportional to 3,131.70, 4,321.72 and 1,715.38 is: 2,367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.70 : 4,321.72 = 1,715.38 : x
  2. Step 2: Convert to fraction form
    3,131.70/4,321.72 = 1,715.38/x
  3. Step 3: Cross multiply
    3,131.70x = 4,321.72 × 1,715.38
  4. Step 4: Simplify right side
    3,131.70x = 7,413,392.05
  5. Step 5: Solve for x
    x = 7,413,392.05/3,131.70
  6. Step 6: Final answer
    x = 2,367.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.