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Finding the Fourth Proportional to 3,141.46, 4,333.38 and 1,960.48

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Solution

The fourth proportional to 3,141.46, 4,333.38 and 1,960.48 is: 2,704.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.46 : 4,333.38 = 1,960.48 : x
  2. Step 2: Convert to fraction form
    3,141.46/4,333.38 = 1,960.48/x
  3. Step 3: Cross multiply
    3,141.46x = 4,333.38 × 1,960.48
  4. Step 4: Simplify right side
    3,141.46x = 8,495,504.82
  5. Step 5: Solve for x
    x = 8,495,504.82/3,141.46
  6. Step 6: Final answer
    x = 2,704.32

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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.