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Finding the Fourth Proportional to 1,973.62, 2,958.45 and 674.20

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Solution

The fourth proportional to 1,973.62, 2,958.45 and 674.20 is: 1,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.62 : 2,958.45 = 674.20 : x
  2. Step 2: Convert to fraction form
    1,973.62/2,958.45 = 674.20/x
  3. Step 3: Cross multiply
    1,973.62x = 2,958.45 × 674.20
  4. Step 4: Simplify right side
    1,973.62x = 1,994,591.95
  5. Step 5: Solve for x
    x = 1,994,591.95/1,973.62
  6. Step 6: Final answer
    x = 1,010.63

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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.