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Finding the Fourth Proportional to 1,976.55, 2,964.30 and 743.18

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Solution

The fourth proportional to 1,976.55, 2,964.30 and 743.18 is: 1,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.55 : 2,964.30 = 743.18 : x
  2. Step 2: Convert to fraction form
    1,976.55/2,964.30 = 743.18/x
  3. Step 3: Cross multiply
    1,976.55x = 2,964.30 × 743.18
  4. Step 4: Simplify right side
    1,976.55x = 2,202,990.87
  5. Step 5: Solve for x
    x = 2,202,990.87/1,976.55
  6. Step 6: Final answer
    x = 1,114.56

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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.