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Finding the Fourth Proportional to 2,003.33, 3,004.19 and 832.54

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Solution

The fourth proportional to 2,003.33, 3,004.19 and 832.54 is: 1,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.33 : 3,004.19 = 832.54 : x
  2. Step 2: Convert to fraction form
    2,003.33/3,004.19 = 832.54/x
  3. Step 3: Cross multiply
    2,003.33x = 3,004.19 × 832.54
  4. Step 4: Simplify right side
    2,003.33x = 2,501,102.91
  5. Step 5: Solve for x
    x = 2,501,102.91/2,003.33
  6. Step 6: Final answer
    x = 1,248.47

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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.