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Finding the Fourth Proportional to 2,003.26, 3,004.28 and 1,029.24

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Solution

The fourth proportional to 2,003.26, 3,004.28 and 1,029.24 is: 1,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.26 : 3,004.28 = 1,029.24 : x
  2. Step 2: Convert to fraction form
    2,003.26/3,004.28 = 1,029.24/x
  3. Step 3: Cross multiply
    2,003.26x = 3,004.28 × 1,029.24
  4. Step 4: Simplify right side
    2,003.26x = 3,092,125.15
  5. Step 5: Solve for x
    x = 3,092,125.15/2,003.26
  6. Step 6: Final answer
    x = 1,543.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.