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Finding the Fourth Proportional to 1,976.26, 2,963.59 and 743.00

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Solution

The fourth proportional to 1,976.26, 2,963.59 and 743.00 is: 1,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.26 : 2,963.59 = 743.00 : x
  2. Step 2: Convert to fraction form
    1,976.26/2,963.59 = 743.00/x
  3. Step 3: Cross multiply
    1,976.26x = 2,963.59 × 743.00
  4. Step 4: Simplify right side
    1,976.26x = 2,201,930.69
  5. Step 5: Solve for x
    x = 2,201,930.69/1,976.26
  6. Step 6: Final answer
    x = 1,114.19

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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.