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Finding the Fourth Proportional to 2,003.76, 3,012.36 and 1,641.24

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Solution

The fourth proportional to 2,003.76, 3,012.36 and 1,641.24 is: 2,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.76 : 3,012.36 = 1,641.24 : x
  2. Step 2: Convert to fraction form
    2,003.76/3,012.36 = 1,641.24/x
  3. Step 3: Cross multiply
    2,003.76x = 3,012.36 × 1,641.24
  4. Step 4: Simplify right side
    2,003.76x = 4,944,005.73
  5. Step 5: Solve for x
    x = 4,944,005.73/2,003.76
  6. Step 6: Final answer
    x = 2,467.36

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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.