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Finding the Fourth Proportional to 1,798.37, 2,481.65 and 1,001.75

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Solution

The fourth proportional to 1,798.37, 2,481.65 and 1,001.75 is: 1,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.37 : 2,481.65 = 1,001.75 : x
  2. Step 2: Convert to fraction form
    1,798.37/2,481.65 = 1,001.75/x
  3. Step 3: Cross multiply
    1,798.37x = 2,481.65 × 1,001.75
  4. Step 4: Simplify right side
    1,798.37x = 2,485,997.84
  5. Step 5: Solve for x
    x = 2,485,997.84/1,798.37
  6. Step 6: Final answer
    x = 1,382.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.