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Finding the Fourth Proportional to 2,003.52, 3,005.26 and 1,519.54

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Solution

The fourth proportional to 2,003.52, 3,005.26 and 1,519.54 is: 2,279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.52 : 3,005.26 = 1,519.54 : x
  2. Step 2: Convert to fraction form
    2,003.52/3,005.26 = 1,519.54/x
  3. Step 3: Cross multiply
    2,003.52x = 3,005.26 × 1,519.54
  4. Step 4: Simplify right side
    2,003.52x = 4,566,612.78
  5. Step 5: Solve for x
    x = 4,566,612.78/2,003.52
  6. Step 6: Final answer
    x = 2,279.29

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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.