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Finding the Fourth Proportional to 2,003.48, 2,764.94 and 1,119.42

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Solution

The fourth proportional to 2,003.48, 2,764.94 and 1,119.42 is: 1,544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.48 : 2,764.94 = 1,119.42 : x
  2. Step 2: Convert to fraction form
    2,003.48/2,764.94 = 1,119.42/x
  3. Step 3: Cross multiply
    2,003.48x = 2,764.94 × 1,119.42
  4. Step 4: Simplify right side
    2,003.48x = 3,095,129.13
  5. Step 5: Solve for x
    x = 3,095,129.13/2,003.48
  6. Step 6: Final answer
    x = 1,544.88

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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.