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Finding the Fourth Proportional to 3,296.70, 4,940.70 and 1,541.57

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Solution

The fourth proportional to 3,296.70, 4,940.70 and 1,541.57 is: 2,310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.70 : 4,940.70 = 1,541.57 : x
  2. Step 2: Convert to fraction form
    3,296.70/4,940.70 = 1,541.57/x
  3. Step 3: Cross multiply
    3,296.70x = 4,940.70 × 1,541.57
  4. Step 4: Simplify right side
    3,296.70x = 7,616,404.41
  5. Step 5: Solve for x
    x = 7,616,404.41/3,296.70
  6. Step 6: Final answer
    x = 2,310.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.