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Finding the Fourth Proportional to 1,976.08, 2,964.03 and 743.40

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Solution

The fourth proportional to 1,976.08, 2,964.03 and 743.40 is: 1,115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.08 : 2,964.03 = 743.40 : x
  2. Step 2: Convert to fraction form
    1,976.08/2,964.03 = 743.40/x
  3. Step 3: Cross multiply
    1,976.08x = 2,964.03 × 743.40
  4. Step 4: Simplify right side
    1,976.08x = 2,203,445.08
  5. Step 5: Solve for x
    x = 2,203,445.08/1,976.08
  6. Step 6: Final answer
    x = 1,115.06

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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.