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Finding the Fourth Proportional to 2,001.81, 3,003 and 685.74

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Solution

The fourth proportional to 2,001.81, 3,003 and 685.74 is: 1,028.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.81 : 3,003 = 685.74 : x
  2. Step 2: Convert to fraction form
    2,001.81/3,003 = 685.74/x
  3. Step 3: Cross multiply
    2,001.81x = 3,003 × 685.74
  4. Step 4: Simplify right side
    2,001.81x = 2,059,277.22
  5. Step 5: Solve for x
    x = 2,059,277.22/2,001.81
  6. Step 6: Final answer
    x = 1,028.71

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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.