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Finding the Fourth Proportional to 1,975.77, 2,963.56 and 743.09

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Solution

The fourth proportional to 1,975.77, 2,963.56 and 743.09 is: 1,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.77 : 2,963.56 = 743.09 : x
  2. Step 2: Convert to fraction form
    1,975.77/2,963.56 = 743.09/x
  3. Step 3: Cross multiply
    1,975.77x = 2,963.56 × 743.09
  4. Step 4: Simplify right side
    1,975.77x = 2,202,191.80
  5. Step 5: Solve for x
    x = 2,202,191.80/1,975.77
  6. Step 6: Final answer
    x = 1,114.60

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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.