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Finding the Fourth Proportional to 2,003.14, 2,764.46 and 1,119.00

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Solution

The fourth proportional to 2,003.14, 2,764.46 and 1,119.00 is: 1,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.14 : 2,764.46 = 1,119.00 : x
  2. Step 2: Convert to fraction form
    2,003.14/2,764.46 = 1,119.00/x
  3. Step 3: Cross multiply
    2,003.14x = 2,764.46 × 1,119.00
  4. Step 4: Simplify right side
    2,003.14x = 3,093,443.90
  5. Step 5: Solve for x
    x = 3,093,443.90/2,003.14
  6. Step 6: Final answer
    x = 1,544.30

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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.