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Finding the Fourth Proportional to 2,003.42, 2,764.73 and 1,119.11

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Solution

The fourth proportional to 2,003.42, 2,764.73 and 1,119.11 is: 1,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.42 : 2,764.73 = 1,119.11 : x
  2. Step 2: Convert to fraction form
    2,003.42/2,764.73 = 1,119.11/x
  3. Step 3: Cross multiply
    2,003.42x = 2,764.73 × 1,119.11
  4. Step 4: Simplify right side
    2,003.42x = 3,094,046.70
  5. Step 5: Solve for x
    x = 3,094,046.70/2,003.42
  6. Step 6: Final answer
    x = 1,544.39

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Why These Related Problems?

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