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Finding the Fourth Proportional to 2,003.64, 2,764.85 and 1,119.33

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Solution

The fourth proportional to 2,003.64, 2,764.85 and 1,119.33 is: 1,544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.64 : 2,764.85 = 1,119.33 : x
  2. Step 2: Convert to fraction form
    2,003.64/2,764.85 = 1,119.33/x
  3. Step 3: Cross multiply
    2,003.64x = 2,764.85 × 1,119.33
  4. Step 4: Simplify right side
    2,003.64x = 3,094,773.95
  5. Step 5: Solve for x
    x = 3,094,773.95/2,003.64
  6. Step 6: Final answer
    x = 1,544.58

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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.