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Finding the Fourth Proportional to 1,972.64, 2,958.96 and 674.48

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Solution

The fourth proportional to 1,972.64, 2,958.96 and 674.48 is: 1,011.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.64 : 2,958.96 = 674.48 : x
  2. Step 2: Convert to fraction form
    1,972.64/2,958.96 = 674.48/x
  3. Step 3: Cross multiply
    1,972.64x = 2,958.96 × 674.48
  4. Step 4: Simplify right side
    1,972.64x = 1,995,759.34
  5. Step 5: Solve for x
    x = 1,995,759.34/1,972.64
  6. Step 6: Final answer
    x = 1,011.72

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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.