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Finding the Fourth Proportional to 2,003.51, 2,767.10 and 1,976.19

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Solution

The fourth proportional to 2,003.51, 2,767.10 and 1,976.19 is: 2,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.51 : 2,767.10 = 1,976.19 : x
  2. Step 2: Convert to fraction form
    2,003.51/2,767.10 = 1,976.19/x
  3. Step 3: Cross multiply
    2,003.51x = 2,767.10 × 1,976.19
  4. Step 4: Simplify right side
    2,003.51x = 5,468,305.47
  5. Step 5: Solve for x
    x = 5,468,305.47/2,003.51
  6. Step 6: Final answer
    x = 2,729.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.