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Finding the Fourth Proportional to 2,001.92, 3,003.48 and 703.22

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Solution

The fourth proportional to 2,001.92, 3,003.48 and 703.22 is: 1,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.92 : 3,003.48 = 703.22 : x
  2. Step 2: Convert to fraction form
    2,001.92/3,003.48 = 703.22/x
  3. Step 3: Cross multiply
    2,001.92x = 3,003.48 × 703.22
  4. Step 4: Simplify right side
    2,001.92x = 2,112,092.19
  5. Step 5: Solve for x
    x = 2,112,092.19/2,001.92
  6. Step 6: Final answer
    x = 1,055.04

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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.