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Finding the Fourth Proportional to 2,003.98, 2,768.16 and 1,612.48

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Solution

The fourth proportional to 2,003.98, 2,768.16 and 1,612.48 is: 2,227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.98 : 2,768.16 = 1,612.48 : x
  2. Step 2: Convert to fraction form
    2,003.98/2,768.16 = 1,612.48/x
  3. Step 3: Cross multiply
    2,003.98x = 2,768.16 × 1,612.48
  4. Step 4: Simplify right side
    2,003.98x = 4,463,602.64
  5. Step 5: Solve for x
    x = 4,463,602.64/2,003.98
  6. Step 6: Final answer
    x = 2,227.37

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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.