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Finding the Fourth Proportional to 4,120.97, 6,181.40 and 1,001

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Solution

The fourth proportional to 4,120.97, 6,181.40 and 1,001 is: 1,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.97 : 6,181.40 = 1,001 : x
  2. Step 2: Convert to fraction form
    4,120.97/6,181.40 = 1,001/x
  3. Step 3: Cross multiply
    4,120.97x = 6,181.40 × 1,001
  4. Step 4: Simplify right side
    4,120.97x = 6,187,581.40
  5. Step 5: Solve for x
    x = 6,187,581.40/4,120.97
  6. Step 6: Final answer
    x = 1,501.49

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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.