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Finding the Fourth Proportional to 2,003.85, 2,765.37 and 1,119.63

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Solution

The fourth proportional to 2,003.85, 2,765.37 and 1,119.63 is: 1,545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.85 : 2,765.37 = 1,119.63 : x
  2. Step 2: Convert to fraction form
    2,003.85/2,765.37 = 1,119.63/x
  3. Step 3: Cross multiply
    2,003.85x = 2,765.37 × 1,119.63
  4. Step 4: Simplify right side
    2,003.85x = 3,096,205.78
  5. Step 5: Solve for x
    x = 3,096,205.78/2,003.85
  6. Step 6: Final answer
    x = 1,545.13

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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.