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Finding the Fourth Proportional to 1,962.97, 2,944.74 and 664.00

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Solution

The fourth proportional to 1,962.97, 2,944.74 and 664.00 is: 996.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.97 : 2,944.74 = 664.00 : x
  2. Step 2: Convert to fraction form
    1,962.97/2,944.74 = 664.00/x
  3. Step 3: Cross multiply
    1,962.97x = 2,944.74 × 664.00
  4. Step 4: Simplify right side
    1,962.97x = 1,955,289.32
  5. Step 5: Solve for x
    x = 1,955,289.32/1,962.97
  6. Step 6: Final answer
    x = 996.09

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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.