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Finding the Fourth Proportional to 2,003.81, 2,765.51 and 1,119.66

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Solution

The fourth proportional to 2,003.81, 2,765.51 and 1,119.66 is: 1,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.81 : 2,765.51 = 1,119.66 : x
  2. Step 2: Convert to fraction form
    2,003.81/2,765.51 = 1,119.66/x
  3. Step 3: Cross multiply
    2,003.81x = 2,765.51 × 1,119.66
  4. Step 4: Simplify right side
    2,003.81x = 3,096,419.16
  5. Step 5: Solve for x
    x = 3,096,419.16/2,003.81
  6. Step 6: Final answer
    x = 1,545.27

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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.